Question

solve.
x + 3y = 5
7x - y = -9
( , )
submit

Explanation:

Step 1: Solve the second equation for \( y \)

From \( 7x - y = -9 \), we can rewrite it as \( y = 7x + 9 \).

Step 2: Substitute \( y = 7x + 9 \) into the first equation

Substitute into \( x + 3y = 5 \):
\( x + 3(7x + 9) = 5 \)
Expand the equation:
\( x + 21x + 27 = 5 \)
Combine like terms:
\( 22x + 27 = 5 \)
Subtract 27 from both sides:
\( 22x = 5 - 27 \)
\( 22x = -22 \)
Divide both sides by 22:
\( x = \frac{-22}{22} = -1 \)

Step 3: Substitute \( x = -1 \) back into \( y = 7x + 9 \)

\( y = 7(-1) + 9 \)
\( y = -7 + 9 = 2 \)

Answer:

\((-1, 2)\)