how do i solve this linear system using elimination?

Question

anonymous · Answer

$$2x-3y=-2, 4x+y=24$$

anonymous · Answer

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! :)

radar · Answer

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