Question

What is the solution to the system of equations below?
y = x + 5

y = 6

Answer 1

The answer is that x = 0 and y = -6. While this is not any of your options, the work below proves that it is correct.

In order to find these values, we can use elimination. To do so, we multiply the first equation by 5 and then add the equations together.

125x - 5y = 30

-2x + 5y = -30

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123x = 0

x = 0

Now that we have this value, we can plug the value into one of the originals and find y.

25x - y = 6

25(0) - y = 6

-y = 6

y = -6