Question

Solve, using the substitution method.

3x + 2y = 8

y = x – 6



Question 3 options:



(0, –6)




(3, –3)




(4, –2)



(14, 8)

Answer 1

(4, -2)

Explanation:

3x+ 2y= 8

3x+ 2(x- 6)8 Because y is (x-6), you substitute it into the y in the first equation and multiply it by 2.

3x+ 2x- 12=8 Solve

5x-12=8 add 12 to both sides

5x=20 divide 20 by 5 to get it by itself

x=4

NEXT STEP:

Plug in x=4 into one of the equations

3(4)+2y=8

12+2y=8 subtract 12 on both sides

2y=-4 divide 2 into both sides to get it by itself

y= -2

OR

y= (4)-6

y= -2

Now put into (x,y)

(4, -2)