Question

solve the system of equations. 9x + 11y = -9 3x + 4y = -3 (x, y) = (, )

Explanation:

Step1: Eliminate x by multiplying the second equation

Multiply the second equation \(3x + 4y = -3\) by 3 to get \(9x + 12y = -9\).

Step2: Subtract the first equation from the new equation

Subtract \(9x + 11y = -9\) from \(9x + 12y = -9\):
\((9x + 12y) - (9x + 11y) = -9 - (-9)\)
Simplify: \(y = 0\).

Step3: Substitute y = 0 into the second equation

Substitute \(y = 0\) into \(3x + 4y = -3\):
\(3x + 4(0) = -3\)
Simplify: \(3x = -3\) → \(x = -1\).

Answer:

\((-1, 0)\)