Final answer:
The solution to the system of linear equations is x = 7 and y = 7.
Step-by-step explanation:
To find the solution to the system of linear equations, we can solve by substitution or elimination.
Let's use the method of elimination:
-2x - 2y = -28
2x + 4y = 42
Multiply the first equation by 2:
-4x - 4y = -56
Add the equations together:
(-4x - 4y) + (2x + 4y) = -56 + 42
-2x = -14
Divide by -2:
x = 7
Substitute x = 7 into one of the original equations:
2(7) + 4y = 42
14 + 4y = 42
4y = 28
Divide by 4:
y = 7
Therefore, the solution to the system is x = 7 and y = 7.