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pav-90 [236]
2 years ago
14

Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

Mathematics
1 answer:
nirvana33 [79]2 years ago
4 0

Answer:

(-2;-6)

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.

Now, let's pick one you want to eliminate.

<u>Eliminating x:</u> Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6

<u>Eliminating y:</u> Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2

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