Question

question 3 (multiple choice worth 2 points)
(systems of linear equations mc)

which point is a solution of the system of linear equations?

\\(x - 3y = -2\\)
\\(y = -3x + 4\\)

(1, 1)
(1, -1)
(-1, 1)
(-1, -1)

Explanation:

Substitute the second equation into the first

Using the Solving Systems by Substitution knowledge point

$$
LATEXBLOCK0
$$

Solve for x

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Solve for y

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK2
$$

Identify the solution point

Using the Systems of Linear Equations knowledge point

$$ (x, y) = (1, 1) $$

Answer:

• (A) \((1, 1)\) (Correct answer)
• (B) \((1, -1)\)
• (C) \((-1, 1)\)
• (D) \((-1, -1)\)