Solve the following system of equations using the elimination method. 2x−3y=14 , 4x+3y=10 (1 point)
To solve the system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the equations.
In this case, we can eliminate the variable "y" by adding the two equations together:
(2x - 3y) + (4x + 3y) = 14 + 10
This simplifies to:
6x = 24
Now, solve for x by dividing both sides of the equation by 6:
6x/6 = 24/6
x = 4
Substitute this value back into one of the original equations to solve for y. Let's use the first equation:
2x - 3y = 14
2(4) - 3y = 14
8 - 3y = 14
Subtract 8 from both sides:
-3y = 6
Now, divide both sides by -3 to solve for y:
-3y / -3 = 6 / -3
y = -2
Therefore, the solution to the system of equations is x = 4 and y = -2.