Question

solve.
10x - 6y = -18
8x - 8y = 8

Explanation:

Step 1: Simplify the second equation

Divide the second equation \(8x - 8y = 8\) by 8.
\(\frac{8x}{8}-\frac{8y}{8}=\frac{8}{8}\)
Which simplifies to \(x - y = 1\), and we can express \(x\) as \(x = y + 1\).

Step 2: Substitute \(x\) into the first equation

Substitute \(x = y + 1\) into \(10x - 6y = -18\).
\(10(y + 1)-6y=-18\)
Expand the left - hand side: \(10y+10 - 6y=-18\)
Combine like terms: \(4y+10=-18\)

Step 3: Solve for \(y\)

Subtract 10 from both sides of the equation \(4y + 10=-18\).
\(4y+10 - 10=-18 - 10\)
\(4y=-28\)
Divide both sides by 4: \(\frac{4y}{4}=\frac{-28}{4}\)
We get \(y=-7\)

Step 4: Solve for \(x\)

Substitute \(y = - 7\) into \(x=y + 1\).
\(x=-7 + 1=-6\)

Answer:

\((-6,-7)\)