Question

-3x - 4y = 4
-5x + y = 2
is (2, 10) a solution of the system?
choose 1 answer:
a yes
b no
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Explanation:

Step1: Check first equation

Substitute \(x = 2\), \(y = 10\) into \(-3x - 4y = 4\):
Left - hand side (LHS) \(=-3(2)-4(10)=-6 - 40=-46\).
Right - hand side (RHS) \( = 4\).
Since \(-46
eq4\), \((2,10)\) does not satisfy the first equation.

Step2: Conclusion

A solution of a system must satisfy all equations. Since \((2,10)\) fails the first equation, it is not a solution.

Answer:

B. No