Find the solution to the system of equations.

$\begin{aligned}
9 y + 2 x & = 1 \
9 x + y & = 44
\end{aligned}$

A) $( 0 , - 44 )$
B) $( 1,2 )$
C) $( 5,0 )$
D) $( 1 , - 1 )$
E) $( 5 , - 1 )$

Question

Find the solution to the system of equations.

$\begin{aligned}
9 y + 2 x & = 1 \
9 x + y & = 44
\end{aligned}$

A) $( 0 , - 44 )$
B) $( 1,2 )$
C) $( 5,0 )$
D) $( 1 , - 1 )$
E) $( 5 , - 1 )$

Quizplus · Accepted Answer

To solve the system of equations, we can use substitution or elimination. Here, using elimination seems efficient. Multiply the first equation by 1 and the second by 9 to align coefficients for elimination:$$9y + 2x = 1$$$$81x + 9y = 396$$Subtract the first from the second to eliminate $y$:$$79x = 395$$$$x = 5$$Substitute $x = 5$ into one of the original equations to find $y$:$$9(5) + y = 44$$$$45 + y = 44$$$$y = -1$$Thus, the solution is $(5, -1)$.

Find the Solution to the System of Equations 9y+2x=19x+y=44\begin{aligned}9 y + 2 x & = 1 \\9 x + y & = 44\end{aligned}9y+2x9x+y​=1=44​

Find the Solution to the System of Equations $\begin{aligned}9 y + 2 x & = 1 \\9 x + y & = 44\end{aligned}$