Question

What is the solution (a,c) to this system if linear equations 2a-3c = -6
a+2c = 11

Answer 1

(3, 4)

Explanation:

2a - 3c = -6

a + 2c = 11

Solve the second equation for a.

a = 11 - 2c

Substitute 11 - 2c for a in the first equation.

2a - 3c = -6

2(11 - 2c) - 3c = -6

22 - 4c - 3c = -6

-7c = -28

c = 4

a = 11 - 2c

a = 11 - 2(4)

a = 3

Solution: (3, 4)