Solve for x: y = -3x + 5 5x - 4y = -3

Question

Solve for x:

y = -3x + 5

5x - 4y = -3

Answer 1

y = -3x + 5

5x - 4y = -3

 

5x - 4(-3x + 5) = -3      substitute for y

5x + 12x - 20 = -3        distribute

17x - 20 = -3                combine like terms

17x = 17                      add 20 to both sides

x = 1                           divide both sides by 17