ShmoopTube

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Here’s your shmoop du jour…

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Which of the coordinates is a solution to the following system of equations?

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Here are the potential answers…

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So… what is this question asking?

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It’s all about substitution. In other words… we can have a soy burger instead of processed cow meat.

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But in this kind of substitution, everywhere we see a y here, we can put in a 2x and simplify

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our life a bit by getting a real number for y.

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So we rewrite the equation like this – and we have

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4x minus 3 times 2x equals negative 24.

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Simplify even further and we get 4x minus 6x equals negative 24.

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We have negative 2x equals negative 24… so we can multiply both sides by negative

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1 to get 2x equals 24… or x equals 12.

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Now we can just substitute the 12 times 2 to get 24 for our y value.

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So we get 12 and 24… and our answer is C.

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As in, “Crapburger.”

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