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 \( 5x + 10y = 10 \):

$$
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$$

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:

\((4, -1)\)