Question

solve.
9x + 8y = 12
-5x - 10y = 10
(□, □)
submit

Explanation:

Step1: Simplify the second equation

Divide the second equation \(-5x - 10y = 10\) by \(-5\) to simplify.
\(\frac{-5x}{-5}+\frac{-10y}{-5}=\frac{10}{-5}\)
\(x + 2y=-2\)
Then, express \(x\) in terms of \(y\): \(x=-2 - 2y\)

Step2: Substitute \(x\) into the first equation

Substitute \(x = -2-2y\) into \(9x + 8y = 12\).
\(9(-2 - 2y)+8y = 12\)
Expand the left - hand side: \(-18-18y + 8y = 12\)
Combine like terms: \(-18-10y = 12\)

Step3: Solve for \(y\)

Add 18 to both sides of the equation \(-18-10y = 12\):
\(-10y=12 + 18\)
\(-10y=30\)
Divide both sides by \(-10\): \(y=\frac{30}{-10}=-3\)

Step4: Solve for \(x\)

Substitute \(y = - 3\) into \(x=-2-2y\):
\(x=-2-2\times(-3)\)
\(x=-2 + 6\)
\(x = 4\)

Answer:

\((4,-3)\)