Solve the system of linear equations by the method of elimination.Find (x,y) and check your solution algebraically. $$\left\{ \begin{array} { l }
9 x - 6 y = 6 \
6 x + 6 y = 24
\end{array} \right.$$
A) (2, -2)
B) (2, 2)
C) (2, 9)
D) (-2, -2)
E) (-2, 2)

Question

Solve the system of linear equations by the method of elimination.Find (x,y) and check your solution algebraically.  $$\left\{ \begin{array} { l } 
9 x - 6 y = 6 \
6 x + 6 y = 24
\end{array} \right.$$  
A) (2, -2)
B) (2, 2)
C) (2, 9)
D) (-2, -2)
E) (-2, 2)

Quizplus · Accepted Answer

To solve the system of equations by elimination, we can add the two equations together to eliminate $y$. The equations are:$$9x - 6y = 6$$$$6x + 6y = 24$$Adding them gives:$$9x + 6x = 6 + 24$$$$15x = 30$$$$x = 2$$Substitute $x = 2$ into one of the original equations to find $y$. Using the second equation:$$6(2) + 6y = 24$$$$12 + 6y = 24$$$$6y = 12$$$$y = 2$$Therefore, the solution is $(x, y) = (2, 2)$, which corresponds to choice B.

Solve the System of Linear Equations by the Method of Elimination.Find