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tell whether the ordered pair $(-4, 2)$ is a solution of the system of …

Question

tell whether the ordered pair $(-4, 2)$ is a solution of the system of linear equations $y = -x - 2$ $y = 0.25x + 4$ $(-4, 2)$ dropdown a solution of the system of linear equations.

Explanation:

Step1: Check first equation

Substitute \( x = -4 \), \( y = 2 \) into \( y = -x - 2 \).
Right - hand side: \( -(-4)-2 = 4 - 2 = 2 \).
Left - hand side: \( y = 2 \). So, it satisfies the first equation.

Step2: Check second equation

Substitute \( x = -4 \), \( y = 2 \) into \( y = 0.25x + 4 \).
Right - hand side: \( 0.25\times(-4)+4=- 1 + 4 = 3 \).
Left - hand side: \( y = 2 \). Since \( 2
eq3 \), it does not satisfy the second equation.

Answer:

is not