Question

solve the system of equations.

• 2x + 15y = -24

2x + 9y = 24
x =

y =

Explanation:

Step1: Add the two equations to eliminate \(x\)

The two equations are:
\(-2x + 15y = -24\)
\(2x + 9y = 24\)

Adding them together: \((-2x + 2x)+(15y + 9y)=-24 + 24\)
Simplify: \(24y = 0\)

Step2: Solve for \(y\)

From \(24y = 0\), divide both sides by 24: \(y=\frac{0}{24}=0\)

Step3: Substitute \(y = 0\) into one of the original equations to solve for \(x\)

Let's use the second equation \(2x + 9y = 24\). Substitute \(y = 0\):
\(2x+9(0)=24\)
Simplify: \(2x=24\)
Divide both sides by 2: \(x=\frac{24}{2}=12\)

Answer:

\(x = 12\)
\(y = 0\)