Question

is (5, 5) a solution to this system of equations?
$y = -\frac{1}{5}x - 4$
$y = 2x - 5$
yes no

Explanation:

Step1: Check first equation

Substitute \( x = 5 \), \( y = 5 \) into \( y = -\frac{1}{5}x - 4 \).
Right - hand side: \( -\frac{1}{5}\times5 - 4=-1 - 4=-5 \).
Left - hand side: \( y = 5 \). Since \( 5
eq - 5 \), \( (5,5) \) does not satisfy the first equation.

Step2: Conclusion

A solution to a system of equations must satisfy all equations in the system. Since \( (5,5) \) does not satisfy the first equation, it is not a solution to the system.

Answer:

no