Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of $$ ( x , y ) $$ . $$ 3 x - 5 y = 27 $$ $$ 5 x - 3 y = 13$$

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Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of $$ ( x , y ) $$ . $$ 3 x - 5 y = 27 $$ $$ 5 x - 3 y = 13$$

Lane Black · Accepted Answer

Solve using the Cramer's rule$$\left ( x,yight ) = \left ( - 1,- 6ight ) $$     SOLUTIONSolve the equation$$\left \{ \begin{array} { l} x= \frac { 27+ 5y} { 3} \ 5x- 3y= 13\end{array} ight .$$   Solve using substitution$$5	imes \frac { 27+ 5y} { 3} - 3y= 13$$   Simplify$$\frac { 135+ 16y} { 3} = 13$$   Cross multiply$$135+ 16y= 3	imes 13$$   Evaluate$$135+ 16y= 39$$   Move the constant to the right side$$16y= 39- 135$$   Subtract the terms$$16y= - 96$$   Divide both sides$$\frac { 16y} { 16} = \frac { - 96} { 16} $$   Simplify$$\frac { 16y} { 16} = - 6$$   Simplify$$y= - 6$$  $$	ext { Substitute the value of } y$$  $$x= \frac { 27+ 5\left ( - 6ight ) } { 3} $$   Simplify$$x= - 1$$   Calculate$$\left \{ \begin{array} { l} x= - 1\ y= - 6\end{array} ight .$$   Check the solution$$\left \{ \begin{array} { l} x= - 1\ y= - 6\end{array} ight .$$

Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of \( ( x , y ) \) . \( 3 x - 5 y = 27 \) \( 5 x - 3 y = 13\)

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Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of \( ( x , y ) \) . \( 3 x - 5 y = 27 \) \( 5 x - 3 y = 13\)

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