Question

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.

Answer 1

Given : equations are,

$y=-3(x-1)\hfill (1)$

and

$y=x-5\hfill (2)$

To solve :

$-3(x-1)=x-5$

Step-by-step explanation:

Therefore,

$-3(x-1)=x-5\implies -3x+3=x-5\implies 4x=8\implies x=2$

Thus from (1)

when x=1, y=-3(2-1)=-3

from (2),

when x=2, y=2-5=-3

Hence required solution is (x,y)=(2,-3).