Question

how do i solve this linear system using elimination?

Answer 1

\[2x-3y=-2, 4x+y=24\]

Answer 2

multiply the first equation by 2 - 4x-3y=-4.
find the difference between the new equation and the second equation.
you should get -4y=-28, therefore, y = 7 and you can solve for x! :)

Answer 3

Multiply first equation by -2 giving: -4x+6y=4
Add to the second equation: 4x+y=24
-4x+6y=4
Sum is: 7y=28 Solve for y: y=28/7=4
Substitute for y in first equation 2x-12=-2 Solve for x: 2x=10, x=5
Verify by substituting in the second equation