## that follow. 4x – 9y = 7 –2x + 3y = 4 What number would you multiply the second equation by in order to eliminate the x-terms when adding t

Question

that follow. 4x – 9y = 7 –2x + 3y = 4 What number would you multiply the second equation by in order to eliminate the x-terms when adding to the first equation? What number would you multiply the second equation by in order to eliminate the y-terms when adding to the first equation?

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2 weeks 2021-09-09T13:44:59+00:00 1 Answer 0

## Answers ( )

1. Answer:

Step-by-step explanation:

4x – 9y = 7

–2x + 3y = 4 (2)

You want to eliminate the x-terms when adding to the first equation, so you have to multiple both sides of the equation (2) by 2 like:

4x – 9y = 7

–4x + 6y = 8

—————————–(add)

0 – 3y = 15

or y = -5, and x = – 19/2

But if you want to eliminate the y-terms when adding to the first equation, so you have to multiple both sides of the equation (2) by 3, like

4x – 9y = 7

-6x + 9y = 12

—————–(add)

-2x + 0 = 19

or x = – 19/2 and y = – 5