Given the system of equations presented here:
2x + 4y = 14
4x + y = 20
Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated?
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"Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? "
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Multiply the second equation by −4 to get −16x − 4y = −80
Multiply the second equation by −1 to get −4x − y = −20
Multiply the first equation by 2 to get 4x + 8y = 28
Multiply the first equation by −1 to get −2x − 4y = −14
Well opposites cancel
So a negative # and a positive # cancel out
What do you think that answer is?