Question

1. \\( y = -4x - 7 \\)\\( x + y = 2 \\)

Explanation:

Step1: Substitute \( y = -4x - 7 \) into \( x + y = 2 \)

We get \( x + (-4x - 7) = 2 \).

Step2: Simplify the left - hand side

Simplify \( x - 4x - 7 = 2 \), which is \( -3x - 7 = 2 \).

Step3: Solve for \( x \)

Add 7 to both sides: \( -3x - 7+7 = 2 + 7 \), so \( -3x=9 \).
Divide both sides by - 3: \( x=\frac{9}{-3}=-3 \).

Step4: Substitute \( x = - 3 \) into \( y=-4x - 7 \)

\( y=-4\times(-3)-7 = 12 - 7 = 5 \).

Answer:

The solution of the system of equations is \( x=-3,y = 5 \)