Question

Think About the Process  What must be true for a system of equations to have no solution​? How many solutions does this system​ have?
y equals seven fourths x minus 2
y equals one third x minus 2
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Part 1
What must be true for a system of equations to have no solution​?
A.
The slopes must not be equal.
B.
The slopes must be equal and the y dash intercepts must be equal.
C.
The slopes must be equal and the y dash intercepts must not be equal.
Your answer is correct.
Part 2
How many solutions does the system of equations​ have?

Answer 1

Part 2 answer: One solution.

Work: set 7/4 x − 2 = 1/3 x − 2. Adding 2 to both sides gives (7/4)x = (1/3)x, so (7/4 − 1/3)x = 0 ⇒ (17/12)x = 0 ⇒ x = 0. Then y = −2.
Intersection point: (0, −2).