Solve the following system of equations using the elimination method. 2x−3y=14 , 4x+3y=10
To solve this system of equations using the elimination method, we first add the two equations together to eliminate the y variable:
(2x - 3y) + (4x + 3y) = 14 + 10
6x = 24
x = 4
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
2(4) - 3y = 14
8 - 3y = 14
-3y = 6
y = -2
Therefore, the solution to the system of equations is x = 4 and y = -2.