Question

solve using substitution.
9x + y = -17
-3x + y = 19
( , )
submit

Explanation:

Step1: Solve one equation for a variable

From the second equation \(-3x + y = 19\), solve for \(y\):
\(y = 3x + 19\)

Step2: Substitute into the first equation

Substitute \(y = 3x + 19\) into \(9x + y = -17\):
\(9x + (3x + 19) = -17\)

Step3: Simplify and solve for \(x\)

Combine like terms:
\(12x + 19 = -17\)
Subtract 19 from both sides:
\(12x = -17 - 19\)
\(12x = -36\)
Divide by 12:
\(x = \frac{-36}{12} = -3\)

Step4: Substitute \(x\) back to find \(y\)

Substitute \(x = -3\) into \(y = 3x + 19\):
\(y = 3(-3) + 19\)
\(y = -9 + 19 = 10\)

Answer:

\((-3, 10)\)