Final answer:
To solve the system using elimination, add the equations to cancel out the y terms. The solution is x = -2, y = 4.
Step-by-step explanation:
To solve the system of equations using elimination, we'll add the two equations together. This will eliminate the y terms, allowing us to solve for x.
Add the equations:
5x + 3y = 2
5x - 3y = -22
The y terms cancel each other out:
10x = -20
Divide both sides by 10:
x = -2
Substitute the value of x into one of the original equations to solve for y:
5(-2) + 3y = 2
-10 + 3y = 2
3y = 12
Divide both sides by 3:
y = 4
The solution to the system is x = -2, y = 4.