Question

5.4 solving systems of equations by elimination quiz

solve the system of equations using the elimination method:
\\\

$$\begin{aligned} 8x + y &= -16 \\\\ -3x + y &= -5 \\end{aligned}$$

\\

(0, -3)
(7, -2)
(-1, -8)
(7, -1)

Explanation:

Set up the system of equations

Using the Elimination Method knowledge point

$$
LATEXBLOCK0
$$

Subtract the equations to eliminate y

Using the Elimination Method knowledge point

$$
LATEXBLOCK1
$$

Solve for x

Using the Elimination Method knowledge point

$$
LATEXBLOCK2
$$

Substitute x back to solve for y

Using the Elimination Method knowledge point

$$
LATEXBLOCK3
$$

Verify the solution

Using the Elimination Method knowledge point

$$
LATEXBLOCK4
$$

Answer:

• (A) \((0, -3)\)
• (B) \((7, -2)\)
• (C) \((-1, -8)\) (Correct answer)
• (D) \((7, -1)\)