Question

solve.
$5x + 10y = 10$
$x + 3y = 1$
(□, □)
submit

Explanation:

Step1: Solve the second equation for x

From \( x + 3y = 1 \), we can express \( x \) as \( x = 1 - 3y \).

Step2: Substitute x into the first equation

Substitute \( x = 1 - 3y \) into \( 5x + 10y = 10 \):
\[

$$\begin{align*} 5(1 - 3y) + 10y &= 10\\ 5 - 15y + 10y &= 10\\ 5 - 5y &= 10 \end{align*}$$

\]

Step3: Solve for y

Subtract 5 from both sides:
\[
-5y = 10 - 5\\
-5y = 5
\]
Divide both sides by -5:
\[
y = \frac{5}{-5}\\
y = -1
\]

Step4: Substitute y back to find x

Substitute \( y = -1 \) into \( x = 1 - 3y \):
\[
x = 1 - 3(-1)\\
x = 1 + 3\\
x = 4
\]

Answer:

\((4, -1)\)