Final answer:
To solve the system of equations using the elimination method, multiply one equation by -1 to make the x terms cancel out when added together. Solve for y and substitute it into one of the original equations to solve for x. The solution is (x, y) = (22/3, 0).
Step-by-step explanation:
To solve the system of equations using the elimination method, start by multiplying the second equation by -1 to make the x terms cancel out when added together:
3x + 10y = 22
-3x - 8y = -14
-3x - 8y = -14
-3x - 8y = 14
Add the two equations together:
0x + 2y = 0
Solve for y:
y = 0/2 = 0
Substitute y = 0 into one of the original equations to solve for x:
3x + 10(0) = 22
3x = 22
x = 22/3
Therefore, the solution to the system of equations is (x, y) = (22/3, 0).