Question

Rewrite the following equations in the form y = mx + b.

8x + 2y = 10

12x - 3y = -25​

Answer 1

8x + 2y = 10 ==> y = -4x + 5

12x - 3y = -25​ ==> y = 4x + 25/3

Explanation:

8x + 2y = 10 ==> solve for y

2y = 10 - 8x ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x ==> simplify

y = -4x + 5 ==> put the equation in y=mx+b form

12x - 3y = -25​ ==> solve for y

12x = -25 + 3y ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3 ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify