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Here’s your shmoop du jour… Which of the following is a solution to the
following system of equations?
Here are the potential answers…
So… what is this question asking?
It’s all about substitution. In other words… we can have a soy burger instead of processed
cow meat. Yum.
But in this kind of substitution, everywhere we see a y here, we can put in a 2x and simplify
our life a bit by getting a real number for y.
Then we can figure out x in a jiff.
So we rewrite the equation like this – and we have
4x minus 3 times 2x equals negative 24.
Simplify even further and we get 4x minus 6x equals negative 24.
We have negative 2x equals negative 24… so we can multiply both sides by negative
1 to get 2x equals 24… or x equals 12.
Now we can just substitute the 12 times 2 to get 24 for our y value.
So we get 12 and 24… and our answer is C.
As in, “Crapburger.”