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3 years ago

Solve the system of equations using the substitution method.

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer: x = 6 & y = -11

Step-by-step explanation:

You take the equation (y=-3x+7) and put it in the x equation...

x =-2(-3x+7)-16 -- Then continue with the math

x = 6x-14-16

x=6x-30

-5x=-30

x = 6

Then you continue to subsitute the x into the y equation

y= -3(6)+7

y= -18+7

y= -11

Yanka [14]3 years ago

7 0

Answer

x = 6

y = -11

Step-by-step

To solve the system of equations, i just need to substitute the value of one variable into the other equation. I will start by solving for y.

1. Substitute the value for x into the first equation

y = -3(-2y - 16) + 7

2. Use the Distributive Property of Multiplication to get rid of the parentheses

y = 6y + 48 + 7

3. Combine like terms

y = 6y + 55

4. Subtract 6y from both sides to get all y values together on one side

y - 6y = 6y + 55 - 6y

5. Simplify

-5y = 55

6. Divide both sides by -5 to find the value of y

-5y / -5 = 55 / -5

7. Simplify

y = -11

Part 2: Substitute the value for y into the second equation and solve for x

1. Substitute

x = -2(-11) - 16

2. Multiply

x = 22 - 16

3. Subtract

x = 6

Part 3: State your answer

x = 6

y = -11

I hope this helps!

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Answer:

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Step-by-step explanation:

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The above equation can be written as
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4 years ago

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3 years ago

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RSB [31]

Answer:

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Step-by-step explanation:

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The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

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( note that the area is in terms of pi; shown by the answer choices. )

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A couple quick algebra 1 questions for 50 points!

kirill [66]

All the relevant transformations are as shown in the explanations below.

<h3>How to Interpret Transformations?</h3>

We are given the original function as y = x and told the transformation is as follows;

1) y = x + 5; This means that the function was shifted 5 units to the left.

2) y = ³/₈x; This means that the function was vertically stretched by a scale factor of ³/₈.

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Read more about Transformations at; brainly.com/question/4289712

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2 years ago

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$

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Hence, The length of the person’s shadow is 5.7ft.

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