solve by substitution 6x-4y=18, -x-6y=7

Answers

Answer 1

Answer:

(2,-1.5)

Step-by-step explanation:

6x-4y=18

-x-6y=7

Switch the second equation from standard form to y=mx+b form

-x-6y=7→  -x=7+6y → multiply both sides by -1→ x=-7-6y

Substitute all of the things that equal x into the other equation into x

6x-4y=18→ 6(-7-6y)-4y=18

Simplify

-42-36y-4y=18

Bring - 42 to the other side and add like terms

-42-36y-4y=18→ -40y= 60

Solve for y

y=-1.5

Choose an equation and plug y in it.

-x-6(-1.5)=7

-x+9=7

-x=-2

Multiply both sides by -1

x=2


Related Questions

Solve:
x+ 10 - 5 = -9

Answers

x = -14

x+10-5=-9
x+5=-9
x=-14

If a triangle has at least two angles congruent,then it is equilateral

Answers

That is true indeed

12:3:9=? I dont know ​

Answers

You divide them all by 3 so
12/3 =4
3/3=1
9/3=3

Answer is 4:1:3



Height: 168 in.
Height
ft

Answers

Answer:

14 ft

Step-by-step explanation:

116 divided by 12 because there are twelve inches in a foot

brainly is full of braindead bots.
True or False?

Answers

Answer:

False

Step-by-step explanation:

Answer:True

Steby-step explanation:

I need help solving this ​

Answers

Answer: h(35) = 43

Step-by-step explanation: The question is asking you to solve the equation if t = 35:

h(t) = 50 - t/5

h(35) = 50 - 35/5 <— I substituted 35 in for t.

h(35) = 50 - 7

h(35) = 43

Answer:

The answer is 43

Step-by-step explanation:

[tex]h(t) = 50 - \frac{t}{5}[/tex]

[tex]h(35) = 50 - \frac{35}{5}[/tex]

[tex]h(35) = 50 - 7[/tex]

[tex]h(35)=43[/tex]


I need help hurry !! Please , which one is correct?

Answers

Answer:

13

Step-by-step explanation:

I used the calculator heheh

Hope It Helps

Use the GCF to factor 32x+56

Answers

Answer:

8

Step-by-step explanation:

The factored form of the given expression is 8(4x+7).

What is GCF?

GCF stands for Greatest Common Factor, it is the highest common factor of each of the term in the expression.

Express each term of the given expression in the form of factors.

32x+56=8·4·x+8·7

From both terms, the highest common factor, that is, GCF is 8.

Factor out 8 from the terms.

8(4·x+7)=8(4x+7)

Thus, the factored form of the given expression is 8(4x+7).

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how do i know if a system of equation has infinite number of solutions

Answers

A system of equations has an infinite number of solutions when after solving the system, you end up with a true statement.

For example, let’s say you solve a system of equations and your result is 5=5. 5=5 is a true statement, but it doesn’t tell us anything about the x or y value solutions to the system. So because we’re only left with 5=5, there are infinite solutions to the system.

what is 16/20 minus 1/4 in simpilest forrm

Answers

Answer:

11/20

Step-by-step explanation:

16/20 - 1/4

rewrite 1/4 with same denominator (multiply by 5)

16/20 - 5/20 = 11/20


Find the area of the
regular figure below:

A) 67.3 in2
B) 70.2 in2
C) 74.6 in2
D) 77.1 in 2
E) 82.8 in2

pls show work

Answers

Answer:

Option E

Step-by-step explanation:

Central angles of a regular polygon = [tex]\frac{360}{n}[/tex]

Here, n = Number of sides of the regular polygon

Therefore, central angle of the regular polygon = [tex]\frac{360}{8}[/tex] = 45°

From the picture attached,

m∠AOB = [tex]\frac{45}{2}[/tex] = 22.5°

By tangent rule,

tan(∠AOB) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(22.5°) = [tex]\frac{AB}{OB}[/tex]

AB = OB[tan(22.5°)]

AB = 5(0.414213)

     = 2.07 in

Therefore, area of ΔAOC = 2 × (Area of ΔABO)

                                          = [tex]2(\frac{1}{2})(\text{Base})(\text{Height})[/tex]

                                          = AB × OB

                                          = 2.07 × 5

                                          = 10.35 in²

Since, area of the given regular octagon = 8 × (Area of ΔAOC)

                                                                    = 8(10.35)

                                                                    = 82.5 in²

Therefore, Option (E) is the answer.

The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon.


A. 144 B. 156

Answers

A is the answer to the question

Please help. Thank you!

Answers

Answer: See explanation

Step-by-step explanation:

By the Triangle Inequality Theorem, the length of the side must be greater than 1 ft because the sum of two side lengths must be greater than the length of the third side. The third side must be less than 7 ft but greater than 1 ft.

Triangle inequality: 1 < x < 7

Hope that helped!

Q2 - Using expressions
Write down a simplified expression
for the perimeter of this triangle:
9x - 8w
5x + gy
5y + 4w
perimeter
Do not factorise the answer.

Answers

Answer:

14x-4w+14y

Step-by-step explanation:

9x+5x-8w+4w+9y+5y

=14x-4w+14y

Use a common denominator 1/6 7/10

Answers

Are you looking for the least common denominator?!

If so the LCD is 30 .

If your looking to divide, multiply, simplify, or even evaluate this , it’s : 7/60

Please mark me BRAINLEST.

What should you do to each side of the equation to solve -32+x=53?

Answers

Answer: c. add 32

Step-by-step explanation:

Answer:

add 32

Step-by-step explanation:

it will solve for x


Ms. Bedru conducts a survey of the ages
of her students in her Algebra Il classes.
She finds the average age is 200
months, give or take 5 months. Write and
solve an equations for the maximum and
minimum ages.

Answers

Your blackfnnffhhfdbdbbshsjsjdjdjdjdjdjsjdjdjsjdjdjd

Find the slope of the line.

Answers

Using the two points given, we can plug them into  m = (y2 -- y1) / (x2 -- x1)

(-2,4)  (3,-2)

-2-4/ 3--2 = -6/5

Therefore the slope of the line would be [tex]-\frac{6}{5}[/tex]

or D

What is the slope below?

Answers

Answer:

2/3

Step-by-step explanation:

rise 4 run 6 simplifies to 2/3

Convert the following function to Standard Form by using the Area Model.

f(x) = (x+3)²+8

A. f(x) = x² + 6x + 17
B. f(x) = x² + 6x +9
C. f(x) = (x + 3)(x +8)
D. f(x) = x² +17​

Answers

A would be the Answer because it is in standard form

Can someone please help me ?

Answers

Answer:

160

Step-by-step explanation:

To solve this we will use the equation

Distance= Velocity * Time

We will first need to calculate the time flown

So we have

960=480*time

Divide and get time=2

We now need to find the new velocity considering wind speed and we can do this by writing a new equation

We have

640=velocity*2

divide and get that velocity=320

This is the speed that the plane was going with the wind resistane which means that to calculate the wind resistance you subtract 320 from the plane's normal speed of 480

so 480-320=160

Given YW bisects
*image is attached above*

Answers

Answer:

Third Option ∠XYW ≅∠ZYW

Step-by-step explanation:

Line bisector cuts an angle in half.

Evaluate 3x + 15 when the x is replaced with 2, 3, and 5?

Answers

Answer:

3(2) + 15= 21; 3(3) +15= 24; 3(5) + 15= 30

Step-by-step explanation:

just plug in your x values and then solve

PLEASE HELPP i’ll give 25 points

Answers

Answer:

9

Step-by-step explanation:

42 / 7 = 6

48 / 8 = 6

54 / 6 = 9

Answer:

the answer is 9

Step-by-step explanation:

the number are being multipled by 6

Complete the table of values for y= 2x-4

Answers

Answer:

-8,-6

Step-by-step explanation:

The completed table for y = 2x - 4 is ( - 2, 0), (- 1, - 6), and (0, -4)

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function y = 2x - 4.

Now at x = - 2 we'll simply put the numerical value of x in y.

y = 2(2) - 4.

y = 4 - 4.

y = 0.

( - 2, 0).

At x = - 1.

y = 2(-1) - 4.

y = - 2 - 4.

y = - 6.

(- 1, - 6).

At x = 0.

y = 2(0) - 4.

y = 0 -4.

y = -4.

(0, -4)

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Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).

Answers

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Step-by-step explanation:

Given the points

(-4,1)(4,3)

Finding the slope between the points (-4,1) and (4,3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)[/tex]

[tex]m=\frac{3-1}{4-\left(-4\right)}[/tex]

Refine

[tex]m=\frac{1}{4}[/tex]

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

in our case,

m = 1/4(x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x-\left(-4\right)\right)[/tex]

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

[tex]y-1=\frac{1}{4}\left(x+4\right)[/tex]

A building casts a shadow 49 feet long. At the same time, a 36 foot tall flag pole casts a shadow 9.8 feet long. What is the height of the building

Answers

Answer:

180 feet tall

Step-by-step explanation:

36 divided by 9.8 = 3.673469388

3.673469388 x 49 = 180 ft

Problem 6
Last month the donut shop made 6,270 donuts. If there were 30 days last 10 points
month and they made the same number of donuts each day, how many
donuts were made each day?'
*
A:29
B:290
C:299
D:209

Answers

I think it is 290 because you add the three numbers

The value of (-6) - 6 - (-6) ?

Answers

Step-by-step explanation:

Consider the given expression,

Let,

x=

6+

6+

6+

6..........∞

Now,

x=

6+x

x

2

=6+x

x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x−3)(x+2)=0

x=3or−2

Hence,this is the answer.

Please help with this 1 question! -3-||

Answers

ExplanationGet rid of the denominator by multiplying the whole equation with 100x.

[tex] \frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000[/tex]

Solve the equation for x-term.

[tex]x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400[/tex]

Answer Check

Substitute x = 400 in the equation.

[tex] \frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5} [/tex]

The equation is true for x = 400. Therefore the answer for equation is x = 400.

Answer

[tex] \large\boxed{x = 400}[/tex]

Answer: 400

Explain: Just do 80/20 and get 4 then do 100 times 4

回答:400

説明:80/20を実行して4を取得し、次に100回4を実行します

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