Given the system of equations presented here: 3x + 5y = 29 x + 4y = 16 Which of the following actions creates an equivalent system such that, when combined with the other equation, one of the variables is eliminated? A.Multiply the second equation by −1 to get −x − 4y = −16 B.Multiply the second equation by −3 to get −3x − 12y = −48 C.Multiply the first equation by −1 to get −3x − 5y = −29 D.Multiply the first equation by −3 to get −9x − 15y = −87
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To use process of elimination we would need one of the equation to be the opposite of one of the variables so they may cancel each other out. In this case we would multiply the second equation by -3 to make it `-3x -12y = -48`.
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