Question

solve the system of equations shown.

\\
\

$$\begin{aligned} x+y&=9 \\\\ x&=4y-11 \\end{aligned}$$

\\

• none of these
• \\((5, -4)\\)
• \\((4, 5)\\)
• \\((-5, 4)\\)

Explanation:

Substitute the expression for x into the first equation

$$
LATEXBLOCK0
$$

Solve for x using the value of y

$$
LATEXBLOCK1
$$

Form the final coordinate pair

$$ (x, y) = (5, 4) $$

Answer:

• None of these
• (5, -4)
• (4, 5)
• (-5, 4)