Question

solve.
$x - 3y = 16$
$5x - 5y = 20$
(\boxed{ }, \boxed{ })
submit

Explanation:

Step1: Solve the first equation for x

From \( x - 3y = 16 \), we can express \( x \) in terms of \( y \) by adding \( 3y \) to both sides.
\( x = 16 + 3y \)

Step2: Substitute x into the second equation

Substitute \( x = 16 + 3y \) into \( 5x - 5y = 20 \).
\( 5(16 + 3y) - 5y = 20 \)
First, distribute the 5: \( 80 + 15y - 5y = 20 \)
Combine like terms: \( 80 + 10y = 20 \)
Subtract 80 from both sides: \( 10y = 20 - 80 \)
\( 10y = -60 \)
Divide both sides by 10: \( y = \frac{-60}{10} = -6 \)

Step3: Find x using the value of y

Now substitute \( y = -6 \) back into \( x = 16 + 3y \).
\( x = 16 + 3(-6) \)
\( x = 16 - 18 \)
\( x = -2 \)

Answer:

\((-2, -6)\)