Question

tell whether the ordered pair is (-3, -4) a solution of the system of linear equations. y = 4x + 8 y = -x - 7 (-3, -4) a solution of the system of linear equations.

Explanation:

Step1: Check first equation

Substitute \(x = -3\), \(y = -4\) into \(y = 4x + 8\).
Left side: \(y=-4\), Right side: \(4\times(-3)+8=-12 + 8=-4\). So it satisfies the first equation.

Step2: Check second equation

Substitute \(x = -3\), \(y = -4\) into \(y=-x - 7\).
Left side: \(y = -4\), Right side: \(-(-3)-7=3 - 7=-4\). So it satisfies the second equation.

Answer:

Yes, \((-3, -4)\) is a solution of the system.