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4x-3y=24 and 5x-2y=9 solve by elimination

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Answer to a math question 4x-3y=24 and 5x-2y=9 solve by elimination

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$\left\{\begin{array} { l } 4x-3y=24 \\ 5x-2y=9\end{array} \right.$

$\left\{\begin{array} { l } -8x+6y=-48 \\ 5x-2y=9\end{array} \right.$

$\left\{\begin{array} { l } -8x+6y=-48 \\ 15x-6y=27\end{array} \right.$

$7x=-21$

$x=-3$

$5 \times \left( -3 \right)-2y=9$

$y=-12$

$\left( x, y\right)=\left( -3, -12\right)$

$\left\{\begin{array} { l } 4 \times \left( -3 \right)-3 \times \left( -12 \right)=24 \\ 5 \times \left( -3 \right)-2 \times \left( -12 \right)=9\end{array} \right.$

$\left\{\begin{array} { l } 24=24 \\ 9=9\end{array} \right.$

$\left( x, y\right)=\left( -3, -12\right)$

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