Question

find the solution of the system of equations.
3x + 3y = 6
9x - 5y = -24
answer attempt 1 out of 3
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Explanation:

Step1: Simplify the first equation

Divide the first equation \(3x + 3y = 6\) by 3, we get \(x + y = 2\), then express \(x\) as \(x = 2 - y\).

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

Substitute \(x = 2 - y\) into \(9x - 5y = -24\), we have \(9(2 - y) - 5y = -24\).
Expand the left side: \(18 - 9y - 5y = -24\).
Combine like terms: \(18 - 14y = -24\).
Subtract 18 from both sides: \(-14y = -24 - 18 = -42\).
Divide both sides by -14: \(y = \frac{-42}{-14} = 3\).

Step3: Find the value of \(x\)

Substitute \(y = 3\) into \(x = 2 - y\), we get \(x = 2 - 3 = -1\).

Answer:

\((-1, 3)\)