Question

select the correct answer.

solve the system of equations below.

\\\

$$\begin{aligned} 5x + 2y &= 9 \\\\ 2x - 3y &= 15 \\end{aligned}$$

\\

• (-3,3)
• (3,-3)
• (12,-3)
• (-3,12)

Explanation:

Set up the system of equations

$$
LATEXBLOCK0
$$

Eliminate the variable y

Multiply Equation 1 by 3 and Equation 2 by 2:

$$
LATEXBLOCK1
$$

Add the two equations:

$$
LATEXBLOCK2
$$

Solve for y

Substitute \(x = 3\) into Equation 1:

$$
LATEXBLOCK3
$$

The solution is \((3, -3)\).

Answer:

• (-3,3)
• (3,-3) (Correct answer)
• (12,-3)
• (-3,12)