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How many solutions does the system have? x = -4y + 4 2x + 8y = 8 A. one solution B. two solutions C. infinitely many solutions D. no solution

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Multiplying the first equation by 2:\[2x = -8y + 8 \]
Also, subtracting 8y from both sides in the second equation:\[2x = -8y + 8\]
There is a lot of solutions

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Other answers:

We now have the following equations:\[2x = -8y + 8\\2x = -8y + 8\]
A lot? Uncountable! Infinity!
yes a very lot
A lot lot lot lot!
You can see that without solving the system.
You can mentally arrange the unknows at the left hand side. and see that the second equation is the first one multiplied by 2
so you have only one equation with two unknows. that means a lot of solutions.

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