Question

What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4

Answer 1

(6, -8)

Explanation:

Solve this system by substitution: substitute (1/3)x - 10 for y in the second equation, obtaining:

2x + (1/3)x - 10 = 4, or (after multiplying both sides by 3):

6x + x = 42, or 7x = 42.

Then x = 6. Substituting this into the first equation, we get:

y = (1/3)(6) - 10 = -8

The solution is (6, -8)