Question

n of equations:
b. is (4,2) a solution to the system of equa
$3x - 2y = 8$
$x + y = 6$

Explanation:

Step1: Check first equation

Substitute \(x = 4\), \(y = 2\) into \(3x - 2y = 8\).
Left side: \(3(4)-2(2)=12 - 4 = 8\).
Right side: \(8\). So it satisfies the first equation.

Step2: Check second equation

Substitute \(x = 4\), \(y = 2\) into \(x + y = 6\).
Left side: \(4 + 2 = 6\).
Right side: \(6\). So it satisfies the second equation.

Answer:

Yes, \((4,2)\) is a solution to the system of equations.