Question

Solve the following system of equations. Elimination Method
4x+2y=-8
3x-2y=22

Answer 1

To solve the system of equations using elimination, add the two equations to cancel out y, resulting in 7x = 14. Solve for x, which is 2, then substitute back to find y, which is -8. The solution is x = 2 and y = -8.

Step-by-step explanation:

To solve the system of equations using the elimination method, we are given:

1. 4x + 2y = -8
2. 3x - 2y = 22

We can add the two equations together to eliminate the 'y' variable since the coefficients of y are opposites (2 and -2).

Adding the two equations:

4x + 2y + 3x - 2y = -8 + 22

Combining like terms:

7x = 14

To find the value of 'x', we divide both sides by 7:

x = 2

Now to find 'y', we substitute x = 2 into either original equation. Let's use the first equation:

4(2) + 2y = -8

8 + 2y = -8

Subtracting 8 from both sides:

2y = -16

Dividing by 2 to solve for 'y':

y = -8

The solution to the system of equations is x = 2 and y = -8.