Question

$-x + 4y = -9$
$y = -2x + 6$
is $(2, 3)$ a solution of the system?
choose 1 answer:
a yes
b no
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Explanation:

Step1: Check first equation

Substitute \(x = 2\), \(y = 3\) into \(-x + 4y = -9\).
Left - hand side (LHS): \(-2+4\times3=-2 + 12 = 10\)
Right - hand side (RHS): \(-9\)
Since \(10
eq - 9\), the point \((2,3)\) does not satisfy the first equation.

Step2: Conclusion

A solution of a system of equations must satisfy all the equations in the system. Since \((2,3)\) does not satisfy the first equation \(-x + 4y=-9\), it is not a solution of the system.

Answer:

B. No