Question

1. \\(-5x + y = -50\\)\\(y = -9x - 8\\)

Explanation:

Step1: Substitute \( y = -9x - 8 \) into \( -5x + y = -50 \)

\( -5x + (-9x - 8) = -50 \)

Step2: Simplify the left - hand side

Combine like terms: \( -5x-9x - 8=-50\), which is \( -14x-8 = -50 \)

Step3: Solve for \( x \)

Add 8 to both sides: \( -14x=-50 + 8=-42 \)
Divide both sides by - 14: \( x=\frac{-42}{-14}=3 \)

Step4: Substitute \( x = 3 \) into \( y=-9x - 8 \)

\( y=-9\times3-8=-27 - 8=-35 \)

Answer:

The solution of the system of equations is \( x = 3,y=-35 \)