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solve the following system of equations using substitution y 4x 11 3x 7y 2

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Solve the following system of equations using substitution. y=-4x- 11. 3x+7y=-2

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Answer to a math question Solve the following system of equations using substitution. y=-4x- 11. 3x+7y=-2

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$\left\{\begin{array} { l } y=-4x-11 \\ 3x+7y=-2\end{array} \right.$

$3x+7\left( -4x-11 \right)=-2$

$x=-3$

$y=-4 \times \left( -3 \right)-11$

$y=1$

$\left( x, y\right)=\left( -3, 1\right)$

$\left\{\begin{array} { l } 1=-4 \times \left( -3 \right)-11 \\ 3 \times \left( -3 \right)+7 \times 1=-2\end{array} \right.$

$\left\{\begin{array} { l } 1=1 \\ -2=-2\end{array} \right.$

$\left( x, y\right)=\left( -3, 1\right)$

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