Solve the system of equations $$\begin{array} { l }
10.81 x + 10.76 y - 7.81 = 0 \
6.52 x = 6.43 - 15.76 y
\end{array}$$
A) $x = 0.54$ and $y = 0.19$
B) $x = 0.19$ and $y = 0.54$
C) $$x = 1.46$$ and $$y = 1.03$$
D) $x = 1.03$ and $$y = 1.46$$

Question

Solve the system of equations $$\begin{array} { l } 
10.81 x + 10.76 y - 7.81 = 0 \
6.52 x = 6.43 - 15.76 y
\end{array}$$
A) $x = 0.54$ and $y = 0.19$
B) $x = 0.19$ and $y = 0.54$
C) $$x = 1.46$$ and $$y = 1.03$$
D) $x = 1.03$ and $$y = 1.46$$

Quizplus · Accepted Answer

To solve the system of equations, we can use substitution or elimination. Rearranging the second equation for x gives us $x = \frac{6.43 - 15.76y}{6.52}$. Substituting this expression for x in the first equation and solving for y, then substituting the value of y back to find x, we get $x = 0.54$ and $y = 0.19$.

Solve the System of Equations 10.81x+10.76y−7.81=06.52x=6.43−15.76y\begin{array} { l } 10.81 x + 10.76 y - 7.81 = 0 \\6.52 x = 6.43 - 15.76 y\end{array}10.81x+10.76y−7.81=06.52x=6.43−15.76y​

Solve the System of Equations $\begin{array} { l } 10.81 x + 10.76 y - 7.81 = 0 \\6.52 x = 6.43 - 15.76 y\end{array}$