Question

Substitute for y and rewrite the system of equations as a single equation which can be used to solve for x.

Answer 1

Answer:

x = 3  and y = 1

Step-by-step explanation:

Given equations

y=3x-8 and y=4-x

We will substitute y from second equation in the first and get:

4-x = 3x-8   first we will add (+x) to both sides and get

4-x+x = 3x+x-8 =>   4 = 4x-8 now we will add (+8) to the both sides and get

4+8 = 4x-8+8 => 12 = 4x  now we will change the sides of equation and get

4x = 12 => x = 12/4 = 3 => x=3  now we will replace x=3 in the second equation

y= 4-x = 4-3=1 => y=1  

Finally we have  (x , y) = ( 3 , 1)

God with you!!!