Question

3-1 multiple choice 2.5 points which ordered pair is a solution of the system of linear equations? $x + 4y = -1$ $2x + y = 12$ $\bigcirc\\ (1, -4)$ $\bigcirc\\ (7, -2)$ previous desk 1

Explanation:

Step1: Test (1, -4)

Substitute \( x = 1 \), \( y = -4 \) into \( x + 4y \): \( 1 + 4(-4) = 1 - 16 = -15
eq -1 \). So (1, -4) is not a solution.

Step2: Test (7, -2)

Substitute \( x = 7 \), \( y = -2 \) into \( x + 4y \): \( 7 + 4(-2) = 7 - 8 = -1 \).
Substitute into \( 2x + y \): \( 2(7) + (-2) = 14 - 2 = 12 \). Both equations are satisfied.

Answer:

(7, -2)