Question

is (3, 9) a solution to this system of equations?
$y = 5x + 9$
$y = x + 6$
yes
no

Explanation:

Step1: Check first equation

Substitute \(x = 3\), \(y = 9\) into \(y = 5x + 9\).
Left side: \(y = 9\), Right side: \(5\times3 + 9 = 15 + 9 = 24\). Since \(9
eq24\), \((3,9)\) doesn't satisfy the first equation.

Step2: (Optional, but for completeness) Check second equation

Substitute \(x = 3\), \(y = 9\) into \(y = x + 6\).
Left side: \(y = 9\), Right side: \(3 + 6 = 9\). It satisfies the second equation, but since it fails the first, it's not a solution to the system.

Answer:

no