Question

Find the solution to the following system of equations.
y= -2x + 4
2x – 3y = 18

Answer 1

x would be equal to 15/4 and y equals −7/2

Answer 2

(3.75, -3.5)

Explanation:

y= -2x + 4 --> 2x + y= 4

2x – 3y = 18 --> 2x – 3y = 18

use elimination

3(2x+y=4) --> 6x+3y=12

2x-3y=18

8x = 30

divide by 8

x=3.75

2(3.75)+y=4

7.5+y=4

subtract 7.5 from both sides

y= -3.5

(3.75, -3.5)