Question

solve.
x - 7y = 20
-4x + 3y = 20
(\square, \square)
submit

Explanation:

Step1: Solve first equation for x

From \( x - 7y = 20 \), we get \( x = 7y + 20 \).

Step2: Substitute x into second equation

Substitute \( x = 7y + 20 \) into \( -4x + 3y = 20 \):
\( -4(7y + 20) + 3y = 20 \)
Expand: \( -28y - 80 + 3y = 20 \)
Combine like terms: \( -25y - 80 = 20 \)

Step3: Solve for y

Add 80 to both sides: \( -25y = 100 \)
Divide by -25: \( y = -4 \)

Step4: Solve for x

Substitute \( y = -4 \) into \( x = 7y + 20 \):
\( x = 7(-4) + 20 = -28 + 20 = -8 \)

Answer:

\((-8, -4)\)