Final answer:
To solve the system of linear equations 2x + 3y = 10 and -2x - 2y = -10, we can use the method of elimination. Adding the two equations allows us to eliminate the x-terms and solve for y. Substituting the value of y into either equation allows us to solve for x. The solution to the system is x = 5 and y = 0.
Step-by-step explanation:
To solve the given system of linear equations:
2x + 3y = 10
-2x - 2y = -10
We will use the method of elimination to solve the system. We will add the two equations together to eliminate the x-terms:
(2x + 3y) + (-2x - 2y) = 10 + (-10)
2y = 0
y = 0
Substituting y = 0 into the first equation, we can solve for x:
2x + 3(0) = 10
2x = 10
x = 5
Therefore, the solution to the system of equations is x = 5 and y = 0.