Question

Use the substitution method to find the solution for the system of equations. Write the answer as an ordered pair. 3x+2y=23 (1/2)-y=4

Answer 1

x = 7.75 y = -0.125

Explanation:

3x + 2y = 23 1/2x - y = 4

2(1/2x - y) = (4)2 1x - 2y = 8

3x + 2y = 23

+ 1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125