Question

1. \\( y = -7x + 6 \\)\\( y = 4x - 16 \\)

Explanation:

Assuming we need to solve the system of linear equations \(

$$\begin{cases}y = -7x + 6\\y=4x - 16\end{cases}$$

\) by substitution.

Step1: Substitute \(y\)

Since both equations are solved for \(y\), set \(-7x + 6=4x - 16\).

Step2: Solve for \(x\)

Add \(7x\) to both sides: \(6 = 11x-16\).
Add \(16\) to both sides: \(22 = 11x\).
Divide by \(11\): \(x = 2\).

Step3: Find \(y\)

Substitute \(x = 2\) into \(y=-7x + 6\): \(y=-7(2)+6=-14 + 6=-8\).

Answer:

The solution is \(x = 2\), \(y=-8\) (or the ordered pair \((2,-8)\)).