Answer:
x = 20
y = -12
Explanation:
2x + 2y = 16 -------eqn 1
2x + y = 28 ----------eqn 2
From eqn 2, let's make y the subject of the formula
2x + y = 28
y = 28 - 2x
Substitute the value of y into eqn 1
2x + 2y = 16
2x + 2(28 - 2x) = 16
2x + 56 - 4x = 16
Collect like terms
2x - 4x = 16 - 56
-2x = -40
- cancels -
2x = 40
Divide both sides by 2 to get the value of x
2x/ 2 = 40/ 2
x = 40/2
x = 20
Substitute the value of x = 20 into eqn 2
2x + y = 28
2 (20) + y = 28
40 + y = 28
y = 28 - 40
y = - 12
Therefore,
x = 20
y = -12
Hint, to prove this values, let's pick eqn 1
2x + 2y = 16
x = 20
y = -12
2 ( 20) + 2(-12)
40 - 24 = 16
So our values are correct