Question

Multiply each equation by a number that produces opposite

coefficients for x or y.
4x + 5y = 7
3x-2y=-12

Answer 1

In the slot for 4x + 5y = 7 is -3. Which makes -21.

In the slot for 3x-2y=-12 is 4. Which makes -48.

Explanation:

When you add the -21 and -48 you get -69.

The solution is (-2, 3)

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Answer 2

Explanation:

We could multiply the first equation by -3 and, separately, multiply the second equation by 4. The result would be:

-12x - 15y = -21

12x - 8y = -48

the x terms now cancel. The result is:

- 15y = -21

- 8y = -48

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-23y = -69, or y = 3. If y = 3, then 3x - 2y = -12 becomes:

3x - 2(3) = -12, or

3x - 6 = -12, or 3x = -6, and so x = -2.

The solution is (-2, 3).