Question

What is the solution to the system of equations?

y = A system of equations. y equals StartFraction one-third EndFraction minus 10. 2 x plus y equals 4.x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Answer 1

Substitute y = (1/3)x − 10 into 2x + y = 4:

2x + (1/3)x − 10 = 4
(7/3)x = 14
x = 14 * 3/7 = 6

y = (1/3)*6 − 10 = 2 − 10 = −8

Solution: (6, −8).