Question

Please help!!
Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.

What are the solution(s) of –3(x – 1) = x – 5?
A) –5 and 3
B) –3
C) 1 and 5
D) 2

Answer 1

-3(x - 1) = x - 5

Multiply -3 into (x - 1)

-3x + 3 = x - 5

Add 3x on both sides

-3x + 3 + 3x = x - 5 + 3x

3 = 4x - 5

Add 5 on both sides

3 + 5 = 4x - 5 + 5

8 = 4x

Divide 4 on both sides

2 = x

Your answer is D

Answer 2

The solution of the equations y = – 3(x – 1) and y = x – 5 is x = 2 as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. "

Given, Becca graphs two equations.

Those are, y = –3(x – 1) and y = x – 5.

Becca needs to solve: 3(x – 1) = x – 5.

As we can see it clearly on the graph that,

the lines y = –3(x – 1) and y = x – 5 meet at a point (2, -3).

Therefore, the solution of 3(x – 1) = x – 5 will be x = 2.

Learn more about linear equation here: https://brainly.com/question/13282104

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