Question

What is the solution to this set of equations?

2x+2y=6
x-y=3

Which answer is correct?
(0,-3)
(3,0)
(6,3)
(0,3)

Answer 1

(3,0)

Explanation:

2x + 2y = 6 divide thru by 2 and you get x + y = 3

Name x + y = 3 equation (1) and x - y = 3 equation (2)

Add equations (1) and (2)

(1) x+ y = 3

(2) x - y = 3

2x = 6

x = 3

Substitute x = 3 into equation (1). So, 3 + y = 3

y = 0