(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) \( \left(-2,-\frac{4}{7}\right) \)

Answer

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Answer

3. substitute x into either equation to find y: \( y=-2(0)+1=1 \)

Steps

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: \( y=-2(0)+1=1 \)