Solve by substitution.

x-2y=2
2x-5y=3

I give Brainliest
Please explain step by step.

Answers

Answer 1
// Solve equation [1] for the variable x


[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y


[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

Related Questions

Surface area I need help

Answers

Answer:

100 + 100 + 40 + 40 + 40 + 40 = 360 yd^3

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

pls help me with this question ...​

Answers

Here is ur perfect answer

Answer:

x = 207

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

([tex]\sqrt{x}[/tex] )² + 7² = 16²

x + 49 = 256 ( subtract 49 from both sides )

x = 207

16. The quotient of 7 and a number

Answers

Answer:

7/n would be a algebraic express

Step-by-step explanation:

What is the simplified expression for the expression belov
4(x + 8) + 5(x - 3)
O 9x + 5
O 9x + 11
O 9x + 17
O 9x + 47

Answers

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent

Answers

Answer:

3.9% is the rounded version

Step-by-step explanation:

Answer:

37.0%

Step-by-step explanation:

thanks pi sa points uwu (^^)

godblesss

Anna wants to bake $2\frac{1}{2}$ dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for $1\frac{1}{4}$ cups of sugar, how many cups of sugar does she need to make the cookies for her party?

Answers

Lampz Got Put In A Spliff X Kobis Coffin 26. Divided by 9 + Ceemizz

ANSWER: Loudest spliff

Brooke has a savings account. The account balance is $550.87 at the beginning of the month. The list below shoes all of the activity for one month.

- a deposit of $75.98
- a withdrawal of $34.88
- a deposit of $84.12

What is the balance in Brooke's savings account at the end of the month?

Answers

Answer:

676.09

Step-by-step explanation:

550.87 + 75.98 = 626.85

626.85 - 34.88 = 591.97

591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month

Find the value of m when 0.21: 6.3= 0.06: m

Answers

Answer:

1.8

Step-by-step explanation:

0.21 : 6.3 = 0.06 : m

=> 0.21/6.3 = 0.06/m

=> m = 0.06 x 6.3 / 0.21

m = 1.8

Hope this helps!!

Solve the equation: (5y + 2)(y - 3) = -13(2 + y)

Answers

Answer:

2i

Step-by-step explanation:

Distribute:

(5y + 2)(y - 3)

5y^2-15y+2y-6

Which can be simplified into 5y^2-13y-6

Now the equation now looks like this: 5y^2-13y-6=-13(2+y)

For -13(2+y) multiply -13 with 2+y

Which is -26-13y

5y^2-13y-6=-26-13y

Simplify:

5y^2+20

Which can be simplified into 5(y^2+4)

y^2+4=0

y^2=-4

y=2i

Hope this helps!

The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.

Answers

Answer:

A = 27 cm²

Step-by-step explanation:

let 'w' = width

let '3w' = length

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

w = 3

l = 3(3) or 0

A = lw

A = 3(9)

A = 27

Yolanda bought 12 pounds of rice for $5 . How many pounds of rice did she get per dollar?

Answers

Answer:  2.4 pounds per dollar

Explanation:

We can set up the ratio

12 pounds : 5 dollars

Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"

12/5 = 2.45/5 = 1

The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar

2 pounds per dollar.

1 gal = ____ pt

A) 8.085 pt
B) 8.85 pt
C) 88.5 pt
D) 0.8085 pt

eh? ​

Answers

Answer:

1 gal = ____ pt

A) 8.085 pt

lelz XD

the decimal equivalent of 14/26

Answers

Answer:   0.53846153846154

Step-by-step explanation:   you do

= 14/26

= 14 ÷ 26

= 0.53846153846154

-64/8 do i divide ? what do i do

Answers

Answer:

-8

Step-by-step explanation:

-64/8 = -8................ .......

mark me brainliest plz if you are helped

Answer:

so you divide -64/8 like you would 64/8 and once you get your answer you just put a negative in front because a negative divided by a positive is a negative so your answer is -8

Step-by-step explanation:

find the slope and y intercept.​

Answers

Answer:

slope: 2/3

y intercept: -1

Step-by-step explanation:

slope: rise/run

The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?

Answers

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Like and give 5 star rating

e^ln(5x) =

5x
ln(5)
5ln(x)
ln(x)

Answers

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

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Find the gradient of the line segment between the points (6,-4) and (10,-10). Give your answer in its simplest form.

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates).

so it is 0.2

The solution to the equation log2x log2(x â€"" 6) = 4 is x =.

Answers

The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

The logarithmic equation is given as:

[tex]\mathbf{log_2(x-6) = 4}[/tex]

Apply exponential law of logarithm

[tex]\mathbf{(x-6) = 2^4}[/tex]

Remove the brackets

[tex]\mathbf{x-6 = 2^4}[/tex]

Add 6 to both sides

[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]

Express 2^4 as 16

[tex]\mathbf{x-6 +6= 6+ 16}[/tex]

Add -6 and 6

[tex]\mathbf{x= 6+ 16}[/tex]

Add 6 and 16

[tex]\mathbf{x= 24}[/tex]

Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

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Tentukan Penyelesaian dari persamaan berikut

Answers

1. 3z + 11 = -28
3z = -39
z = -13

2. 3a - 1 = a + 9
3a - a = 10
2a = 10
a = 5

3. 2 (3p - 4) = 4p + 6
6p - 8 = 4p + 6
6p - 4p = 14
2p = 14
p = 7

4. 1/2x + 4 = 6
1/2x = 2
x = 2 * 2
x = 4

5. 2/3(6x - 9) = 1/4(4x + 12)
4x - 6 = x + 3
4x - x = 9
3x = 9
x = 3

2^-5 =
Can someone please help

Answers

Answer:

[tex]\frac{1}{32}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]

P: It's sunny.
Q: It's snowing.
R: It's not raining.
Translate the following symbols: P -> Q
O It's not sunny and it's snowing.
O It's sunny if and only if it's snowing.
O If it's not sunny, then it's not snowing.
O If it's sunny, then it's snowing.

Answers

Answer:

I think the answer is c

Step-by-step explanation:

please give me brainlist

Mr. discrete told his students if everyone in the class did at least 35 of the 40 homework assignments for second nine weeks he would add 4% to their final test if he determines the score by doubling the number of correct problems out of 50 and then adding the bonus which inequality would determine the fewest problems a student could answer correctly and still have a A?

Answers

you would have to do very good on it so try 4 questions

A student must answer at least 35 of the 40 homework assignments correctly to get an A.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.

If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:

2x + 4% × 50 = 100, where x is the number of correct problems.

If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:

2x + 4% × 50 ≥ 90

Substituting 4% for 0.04, we get:

2x + 0.0450 ≥ 90

Solving for x, we find:

x ≥ 35

Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.

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What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)

Group of answer choices

−3

3

6

9

Answers

Answer:

9

Step-by-step explanation:

use half the x coefficent and square it

x^2 − 6x + (-3)^2 = 10 + (-3)^2

x^2 - 6x + 9 = 10 + 9

(x - 3)^2 = 19

What does this sentence mean? Or write the formula

Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.

Answers

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

julio bought 4 pounds of carrot sticks and 3 pounds of celery sticks for the school potluck. he had 6 bowls for serving vegetables. he wants to put an equal amount of carrots and celery in each bowl. how many pounds of vegetables would be in each bowl

Answers

Answer:2

Step-by-step explanation: 4 times 3 equals 12 and 12 divided by 6 is 2

There are 1(1/6) pound of vegetables in each bowl.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bowls = 6

Number of carrot sticks = 4 pounds

Number of celery sticks = 3 pounds

The number of carrots in each bowl.

= 4/6

= 2/3 pounds

The number of celery sticks in each bowl.

= 3/6

= 1/2 pounds

The number of pounds of vegetables in each bowl.

= 2/3 + 1/2

= (4 + 3)/6

= 7/6

= 1(1/6) pounds

Thus,

There are 1(1/6) pound of vegetables in each bowl.

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what is 8 times 38 plz let me know

Answers

Answer:

304

Step-by-step explanation:

use a calculator for that.

Which of these groups of values plugged into the TVM Solver of a graphing
calculator will return the same value for PV as the expression
($415)((1 +0.003)24 – 1)?
(0.003)(1 +0.003)24

Answers

The TVM solver is a tool found in graphing calculators, that solve Time

Value of Money problems.

The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Reasons:

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]

Which gives;

[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]

I = 0.003 × 12 = 0.036 = 3.6%

N = n × t = 24

[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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Three of six people are to be selected and given sinall prizes. One will be
given a book, one will be given a cal cul ator, and one will be given an iTunes
card. In how many different ways can these prizes be awarded?

Answers

Answer:

The three prizes can be awarded in 6 different ways

Step-by-step explanation:

1. P1 - Book; P2 - Calc; P3 - Card

2. P1 - Book; P2 - Card; P3 - Calc

3. P1 - Calc; P2 - Card; P3 - Book

4. P1 - Calc; P2 - Book; P3 - Card

5. P1 - Card; P2 - Book; P3 - Calc

6. P1 - Card; P2 - Calc; P3 - Book

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