Question

solve.
3x + y = -20
x + 2y = 10
(□, □)

Explanation:

Step1: Solve for y from first equation

From \(3x + y = -20\), we get \(y = -20 - 3x\).

Step2: Substitute y into second equation

Substitute \(y = -20 - 3x\) into \(x + 2y = 10\):
\(x + 2(-20 - 3x) = 10\)
\(x - 40 - 6x = 10\)
\(-5x - 40 = 10\)

Step3: Solve for x

Add 40 to both sides: \(-5x = 50\)
Divide by -5: \(x = -10\)

Step4: Solve for y

Substitute \(x = -10\) into \(y = -20 - 3x\):
\(y = -20 - 3(-10) = -20 + 30 = 10\)

Answer:

\((-10, 10)\)