Solve the following system of equations using the elimination method.
2x-3y=14, 4x +3y = 10
To eliminate the y terms, we can add the two equations together:
(2x - 3y) + (4x + 3y) = 14 + 10
6x = 24
Divide both sides by 6:
x = 4
Substituting this value of x back into one of the equations, we can solve for y. Let's use the first equation:
2(4) - 3y = 14
8 - 3y = 14
Subtract 8 from both sides:
- 3y = 6
Divide both sides by -3:
y = -2
The solution to the system of equations is x = 4, y = -2.