Question

is (-5, -2) a solution to this system of
y = \frac{6}{5}x + 8
y = \frac{3}{5}x + 1
options: yes, no

Explanation:

Step1: Check first equation

Substitute \( x = -5 \), \( y = -2 \) into \( y = \frac{6}{5}x + 8 \).
Left side: \( y = -2 \)
Right side: \( \frac{6}{5} \times (-5) + 8 = -6 + 8 = 2 \)
Since \( -2
eq 2 \), the point does not satisfy the first equation.

Step2: Conclusion

A solution to a system must satisfy all equations. Since it fails the first, it's not a solution.

Answer:

no