Question

solve.
-x + 5y = 11
3x + y = 15
(\boxed{ }, \boxed{ })
submit

Explanation:

Step1: Solve the second equation for y

From \(3x + y = 15\), we can express \(y\) as \(y = 15 - 3x\).

Step2: Substitute y into the first equation

Substitute \(y = 15 - 3x\) into \(-x + 5y = 11\):
\[

$$\begin{align*} -x + 5(15 - 3x)&= 11\\ -x + 75 - 15x&= 11\\ -16x&= 11 - 75\\ -16x&= -64 \end{align*}$$

\]

Step3: Solve for x

Divide both sides by \(-16\):
\[
x=\frac{-64}{-16}=4
\]

Step4: Substitute x back to find y

Substitute \(x = 4\) into \(y = 15 - 3x\):
\[
y = 15 - 3\times4 = 15 - 12 = 3
\]

Answer:

\((4, 3)\)