Mathematics: 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.

Step-by-step explanation:are we solving this ?...

Becca graphs the equations y = –3(x – 1) and y

aprilhaters

12.03.2022

we have

y=-3(x-1) ------> equation A

y=x-5 ------> equation B

we know that

The intersection point both graphs is the solution of the system of linear equations

Using a graphing tool

see the attached figure

the solution is the point (2,-3)

Alternative Method

Becca equate equation A and equation B

-3(x-1)=x-5

Eliminate the parenthesis left side

-3x+3=x-5

4x=8

x=2

Find the value of y

Substitute the value of x in the equation A or B

y=2-5=-3

the solution is the point (2,-3)

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