Question

5.3 solving systems of equations by substitution quiz

solve the system by substitution:
\\(y = -2\\)
\\(4x - 3y = 18\\)

\\(\bigcirc\\) (-1, -2)
\\(\bigcirc\\) (1, -2)
\\(\bigcirc\\) (-2, 4)
\\(\bigcirc\\) (3, -2)

Explanation:

Identify the given system

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Substitute the value of y into the second equation

We substitute the known value \(y = -2\) directly into the second linear equation:

$$ 4x - 3(-2) = 18 $$

Solve the equation for x

We simplify the equation and solve for the unknown variable \(x\):

$$
LATEXBLOCK1
$$

Write the solution as an ordered pair

The solution to the system is the coordinate pair \((x, y)\):

$$ (x, y) = (3, -2) $$

Answer:

• (-1, -2)
• (1, -2)
• (-2, 4)
• (3, -2) (Correct answer)