Question

y = -4x - 5

y = 3x - 2

is (3,7) a solution of the system?

choose 1 answer:

a yes

b no

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Explanation:

Step1: Check first equation

Substitute \(x = 3\), \(y = 7\) into \(y=-4x - 5\).
Left side: \(y = 7\).
Right side: \(-4\times3 - 5=-12 - 5=-17\).
Since \(7
eq - 17\), \((3,7)\) does not satisfy the first equation.

Step2: Conclusion

A solution of the system must satisfy both equations. Since it fails the first equation, it's not a solution.

Answer:

B. No