Solve the system of equations by using substitution.
-$$\left\{ \begin{array} { c }
x + 6 y = 6 \
4 x - 9 y = - 9
\end{array} \right.$$
A) x = 0, y = 1
B) x = 1, y = 1
C) x = 1, y = 0
D) x = 0, y = 0

Question

Solve the system of equations by using substitution.
-$$\left\{ \begin{array} { c } 
x + 6 y = 6 \
4 x - 9 y = - 9
\end{array} \right.$$
A) x = 0, y = 1
B) x = 1, y = 1
C) x = 1, y = 0
D) x = 0, y = 0

Quizplus · Accepted Answer

Solving the first equation for x gives x = 6 - 6y. Substituting this into the second equation gives 4(6 - 6y) - 9y = -9, which simplifies to 24 - 24y - 9y = -9. Combining like terms gives -33y = -33, so y = 1. Substituting y = 1 into x = 6 - 6y gives x = 0.

Solve the System of Equations by Using Substitution {x+6y=64x−9y=−9\left\{ \begin{array} { c } x + 6 y = 6 \\4 x - 9 y = - 9\end{array} \right.{x+6y=64x−9y=−9​

Solve the System of Equations by Using Substitution $\left\{ \begin{array} { c } x + 6 y = 6 \\4 x - 9 y = - 9\end{array} \right.$