Question

3 (a) solve the system of equations by graphing. equation 1: $y = -5x + 2$ equation 2: $y = 4x - 7$

Explanation:

Step1: Find intersection by solving equations

Set \(-5x + 2 = 4x - 7\).
Add \(5x\) to both sides: \(2 = 9x - 7\).
Add \(7\) to both sides: \(9 = 9x\).
Divide by \(9\): \(x = 1\).

Step2: Substitute \(x = 1\) into one equation

Substitute \(x = 1\) into \(y = 4x - 7\): \(y = 4(1) - 7 = -3\).

Answer:

The solution is \((1, -3)\) (the point where the two lines intersect when graphed).