Solve the system of two equations using elimination with multiplication

Question

4x-6y= -48
-2x+4y=30

Answer 1

To eliminate the x term, we need to create opposite coefficients for x in both equations.

Start by multiplying the first equation by -2:

-2(4x - 6y) = -2(-48)
-8x + 12y = 96

Now, we can add this equation to the second equation to cancel out the x term:

(-8x + 12y) + (-2x + 4y) = 96 + 30
-8x + 12y - 2x + 4y = 126
-10x + 16y = 126

Now, we have a new system of equations:
-10x + 16y = 126
-2x + 4y = 30

We can continue to solve this system using the method of elimination or substitution.