Problem
(5) What is the solution to the system of equations? \[ y=-2 x+1 \text { and } y=-\frac{4}{7} x+1 \] (A) \( (0,1) \) (B) \( (1,0) \) (C) \( (-2,1) \) (D) \( \left(-2,-\frac{4}{7}\right) \)
Solution
Step 1 ：1. set the two expressions for y equal: \( -2x+1=-\frac{4}{7}x+1\)
Step 2 ：2. solve for x: \( x=0 \)
Step 3 ：3. substitute x into either equation to find y: \( y=-2(0)+1=1 \)
