Solve each system by substitution.
1) y = 2x + 2
y = -5x + 16

Answers

Answer 1

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

Answer 2

Answer:

(2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = -5x + 16

Step 2: Solve for x

Substitution

Substitute in y:                     2x + 2 = -5x + 16Add 5x on both sides:         7x + 2 = 16Subtract 2 on both sides:    7x = 14Divide 7 on both sides:        x = 2

Step 3: Solve for y

Define equation:                    y = 2x + 2Substitute in x:                       y = 2(2) + 2Multiply:                                  y = 4 + 2Add:                                        y = 6

Related Questions

Sixty people are in line for a show. Starting with the 1st person, you ask every 5th person if they bought their ticket in advance. Nine people say yes. Based on the sample, how many people bought tickets in advance?

Answers

Answer:

9 bought in advance

3 did not buy in advance

Step-by-step explanation:

Number of people in line = 60

The total number of people surveyed :

Every 5th person in line is questioned starting with the first in line :

Number of people sampled:

1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56

Total sampled from the 60 people in line = 12

If 9 people said yes ;

Then ;

9 people bought tickets in advance and ;

12 - 9 = 3 did not

Really urgent!!!!

Bus X, Bus Y and Bus Z leave the bus terminal every 35 minutes, 40 minutes and 42 minutes respectively. Given that the 3 buses leave the interchange together at 0620, what would be the next time the three buses leave together? ​

Answers

Answer:

Step-by-step explanation:

Find the lowest common multiple between the numbers

35 = 5×7

40 = 2³×5

42 = 2×3×7

So the lowest common multiple is:

2³×3×5×7 =840 minutes

840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.

Natalie and her friends eat at a restaurant. The bill is $78.96. Natalie leaves a
gratuity and spends $93.18. What percent of the total was the tip?

Answers

Answer:

0.1422 %

Step-by-step explanation:

$93.18 - $78.96 = $14.22

Move the decimal in 14.22 two spaces to the right and put a zero after the decimal point.

0.1422 %

I hope this helps u! :D

Mr Smith opens a saving account with $200 and plans to put $50 per month in the account. Which expression represents this situation after x of months?

Answers

the equations you can use is y=50x + 200

Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables
Kris needs to set up for 132 people?
A. 6 tables
B. 7 tables
C. 8 tables
D. 9 tables

Answers

Answer:

D=9 Tables

Step-by-step explanation:

132÷16=8.25

32 divided by BLANK equals 8

Answers

Answer:

32 divided by 4 equals 8

Step-by-step explanation:

In an inverse variation, X = -8 when
y= - 1/4. What is the value of y when x = 4?

Answers

Step-by-step explanation:

xy = k, where k is a real constant.

When y = -1/4, x = -8.

=> k = (-8)(-1/4) = 2.

Therefore when x = 4,

y = k/x = (2)/(4) = 0.5.

In an inverse variation the value of y is 0.5

What is the value of y ?

In an inverse variation, X = -8 wheny= - 1/4.

y= - 1/4.

the value of y when x = 4

In the equation xy = k, k is a real constant.

X equals -8 at y = 1/4.

=> k = (-8)(-1/4) = 2.

Consequently, if x = 4,

y = k/x = (2)/(4) = 0.5.

In an inverse variation the value of y is 0.5.

Solving an Inverse Variation Problem:

The variation formula is either y = k/x or k = xy.Replace with the supplied values to determine the value of k.With the known value for k, rewrite the variation equation as y = k/x.Find the unidentified by substituting the remaining values.

To learn more about inverse variation refer to:

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3x+y-4=1 Solve For Y

Answers

Answer:

y=-3x+5

Step-by-step explanation:

HELP!! PLEASE! ASAP!!

Please help me with this problem.

Answers

Answer:

your questions is not looking clear sorry bro am so sorry

Does anyone know this:)

Answers

Answer:

18

Step-by-step explanation:

1/2 of base times height is AREA OF A TRIANGLE

1/2(6*30)=18

Miguel needs to drive a total of 16 miles. So far, he has driven 8.9 miles. How many more miles must Miguel drive?

Answers

Answer:

................

Step-by-step explanation:

Answer:

7.1 miles till Miguel gets to the destination

Step-by-step explanation:

16 miles - 8.9 miles = 7.1 miles

what is
150neuton*2squared

Answers

Answer:

600 newtons

Step-by-step explanation:

If a train travels 500 miles in 4 hours, what is the speed

Answers

Answer:125

Step-by-step explanation:

Answer:

125 mph

Step-by-step explanation:

500 divided by 4 = 125 therefore its 125 miles per hour

Martin has 1 5/6 liters of soda.
Each glass can hold 1/3 of a liter
of soda. How many glasses can
Martin completely fill with soda?

Answers

Answer:

5.5 glasses of water

Step-by-step explanation:

5.5 = 5.51.

5.51 = (5.5 × 10)(1 × 10) = 5510.

(55÷5)(10÷5) = 112 when reduced to the simplest form.

i.d.k how it is in fraction form sorry.

hope this helps!!

Reshaun sells houses. He gets a 4% commission for every house he sells.This month he sold $518,000 worth of houses. How much does he earn in commission?

Answers

Answer:

$20,720

Step-by-step explanation:

$518,000 x 4% = $20,720

To solve this, you need to find 4% of $518,000

($518,000)0.04 = $20,720

He should earn $20,720 for his commissions for the year.

There are two mystery numbers. The sum of 2 times the first number and 3 times the second number is -18. The sum of 3 times the first number and 2 times the second number is -17. What are the two numbers?

Answers

Answer:

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

set up system of equations:

2x + 3y = -18

3x + 2y = -17

elimination method:  multiply 1st equation by -2 and second by 3

 -4x - 6y = 36

+

 9x + 6y = -51

  5x = -15

   x = -3

find y:  2(-3) + 3y = -18

           -6 + 3y = -18

            3y = -12

             y = -4

Jill deposited $2,500 in a savings account at a rate of 7.75%,
compounded monthly. How much was in her account after three months?
a $2548.44
b. $2548.76
c. $48.76
d. $38.44

Answers

I will probably be B

Find the number whose 23.2% is 34.8.​

Answers

Answer:

The required number will be:

x = 150

Step-by-step explanation:

Let 'x' be the number

so

23.2% of x = 34.8

23.2% × x = 34.8

23.2/100 × x = 34.8

0.232x = 34.8

divide both sides by 0.232

0.232x/0.232 = 34.8/0.232

x = 150

Therefore, the required number will be:

x = 150

Helppppppop me I’m need help on this nowwwwee difnoxdnslsbsk

Answers

Answer:

a=3, b=3, c=5

Step-by-step explanation:

4[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=a[tex]\frac{b}{c}[/tex]

=[tex]\frac{9}{2}[/tex]÷[tex]\frac{5}{4}[/tex]

=[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{5}[/tex]

=[tex]\frac{36}{10}[/tex]

=3[tex]\frac{6}{10}[/tex]

=3[tex]\frac{3}{5}[/tex]

pls help me find slope ps first person with answer gets the brainest ​

Answers

Answer:

The slope is 1

Step-by-step explanation:

The line's equation is y=x+3

4-(-1)/1-(-4)=5/5=1. That's the slope.

Answer:

1

Step-by-step explanation:

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

([tex]x_1 , y_1[/tex]) = ([tex]-4 , -1[/tex])

([tex]x_2 , y_2[/tex]) = ([tex]1 , 4[/tex])

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{4 - (-1)}{1 - (-4)}[/tex] = [tex]\frac{4 + 1}{1 + 4} = \frac{5}{5}[/tex]

[tex]\frac{5}{5} = 1[/tex]

Your slope is 1.

~

Please help me with my homework!!!

Answers

Answer:

C

Step-by-step explanation:

Plug the values into the function

What is this question? I REALLY NEED HELP!!!

Answers

Answer:

i think it would be B

Step-by-step explanation:

35/5=7

100/15=6.667

Answer:

The answer is B. They are not chocolatey enough

Step-by-step explanation:

35 / 5  = 7 / 1

100 / 15 = 20 / 3

You can see that the Cookie Club has fewer chocolate chips.

I hope this helps u! :D

• Which operations are used in the expression 2x – 4? Choose ALL that apply.
division
multiplication
addition
subtraction

Answers

Answer:

The expression uses multiplication and subtraction.

Multiplication and subtraction used in the expression 2x – 4

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find which operations are used in expression

2x-4

An operation is a mathematical action. Addition, subtraction, multiplication, division, and calculating the root are all examples of a mathematical operation.

Two times of x minus four.

Two times of x means we are taking product of 2 and x. Multiplication is used

2x-4 means we are subtracting four from 2x. Subtraction is used in the expression.

Hence Multiplication and subtraction used in the expression 2x – 4

To learn more on Expressions click:

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Is t = 4 a solution to the inequality below?
t 23
yes
no



PLS HELP!!!

Answers

Answer:

False, I think

Step-by-step explanation:

I’m not getting the full question but 4 cannot equal 23 so I would say false

Can some help ...:.....0

Answers

Answer:

-4

Step-by-step explanation:

Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.

So to solve for x, set 28 and 10x+68 equal to each other.

28=10x+68

First, subtract 68 from both sides

-40=10x

Then, divide both sides by 10

-4=x

If you want to check your answer plug -4 back into the original equation.

28=10(-4)+68

28=-40+68

28=28, which is true, therefore -4 is correct.

Pls help me with this math.


1)The sum of a number and 16 is equal to 45?

Answers

Answer:

It would be 29!

Step-by-step explanation:

29+16=45

Answer:

the answer is 29

Step-by-step explanation:

u can know it by just subtracting 45 by 16

Mr. Marcos bought chicken and beef from the butcher and fish from the fish market for a barbecue. Thee ratio of the weight of chicken to the weight of the beef to the weight of the fish he bought was 3 : 1 : 5. He bought 10 pounds of fish. What was the total weight of meat he bought from the butcher?

Answers

Answer:

8 pounds

Step-by-step explanation:

Total ratio = 3 + 1 + 5 = 9

x = total pounds of chicken, beef and fish bought

equation for pounds of fish bought = 5/9 × x = 10

divide both sides by 9/5

x = 18

pounds of chicken bought = 3/9 x 18 = 6 pounds

pounds of beef bought = 1/9 x 18 = 2 pounds

total weight of meat bought = 6 + 2 = 8 pounds

How do I know which triangles are similar to ABC?​

Answers

Answer:

I'm not sure if my answer is correct but anyways.

Step-by-step explanation:

If you drew a triangle and labeled it, that would be easier to determine your answer. So, 145-10=135 and then i guess 145-135=10???

20 chairs at 5 tables = ? chairs per table

Answers

Answer:

4 chairs per table

Step-by-step explanation:

Answer:

4 Chairs Per Table

Step-by-step explanation:

There are 20 tables at 5 tables.

We need to find the number of chairs per person.

Divide 20 by 5.

[tex]\frac{\text{Total Number of Chairs}}{\text{Total number of Tables}} =\frac{20}{5}=\frac{20/5}{5/5}=\frac{4}{1}=\boxed{4}[/tex]

There should be 4 chairs per table.

Hope this helps.

Please help
Show workings

Answers

Answer:

this ange is congruent to the one above so you would just subtract 180 from 116

180-116

= 64

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