Final answer:
To solve the equations by elimination, you need to eliminate one variable by adding or subtracting the equations. In this case, you can eliminate the 'y' variable by multiplying the first equation by 2 and the second equation by 4. The solution to the equations is x = -3.
Step-by-step explanation:
To solve the equations by elimination, we need to eliminate one variable by adding or subtracting the two equations. In this case, we can eliminate the 'y' variable by multiplying the first equation by 2 and the second equation by 4, so that the coefficients of 'y' will be the same. This will give us:
8x - 4y = -24
16x - 8y = -48
Next, we can subtract the first equation from the second equation, which will eliminate the 'y' variable:
(16x - 8y) - (8x - 4y) = -48 - (-24)
Simplifying this equation gives:
8x - 4y = -24
On the left side, the 'y' terms cancel out, so we are left with:
8x = -24
Finally, we can solve for 'x' by dividing both sides of the equation by 8:
x = -24/8
Simplifying further gives:
x = -3
Therefore, the solution to the equations is x = -3.