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Use substitution in the system of equations. What is the value of y in both equations?A. 3B. -4.7C. -1.63D. -6

Use substitution in the system of equations. What is the value of y in both equations-example-1

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Given:


\begin{gathered} 3x+2y=-12\ldots\ldots\ldots(1) \\ x=4y-18\ldots\ldots\ldots(2) \end{gathered}

To find the value of y:

Substitute the equation (2) in (1) we get,


\begin{gathered} 3(4y-18)+2y=-12 \\ 12y-54+2y=-12 \\ 14y=-12+54 \\ 14y=42 \\ y=3 \end{gathered}

Hence, the value of y is 3.

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