Question

After solving a system of equations using​ substitution, the final statement is the equation 3=2. What is true about the slope and​ y-intercepts of the lines in the system of​ equations?
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Part 1
Choose the correct answer below.
A.
The slopes are​ equal, and the​ y-intercepts are equal.
B.
The slopes are not​ equal, and the​ y-intercepts are not equal.
C.
The slopes are​ equal, but the​ y-intercepts are not equal.
D.
The slopes are not​ equal, but the​ y-intercepts are equal.

Answer 1

C. The slopes are equal, but the y-intercepts are not equal.

Explanation: 3 = 2 is a contradiction, so the system has no solution. That happens when the lines are parallel — same slope, different y-intercepts.