how do i solve this linear system using elimination?

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how do i solve this linear system using elimination?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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

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