Question

solve the system by substitution:

\\(y = 6x - 11\\)

\\(-2x - 3y = -7\\)

(2, 1)
(5, -2)
(0, -7)
(1, -2)

Explanation:

Substitute the expression for y

Using the Substitution Method knowledge point

$$
LATEXBLOCK0
$$

Solve the linear equation for x

Using the Solving Multi-Step Equations knowledge point

$$
LATEXBLOCK1
$$

Calculate the corresponding value of y

Using the Substitution Method knowledge point

$$
LATEXBLOCK2
$$

Write the solution as an ordered pair

Using the Substitution Method knowledge point

$$ (x, y) = (2, 1) $$

Answer:

• (A) (2, 1) (Correct answer)
• (B) (5, -2)
• (C) (0, -7)
• (D) (1, -2)