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Grade 8 Algebra I
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Systems of Equations and Inequalities -Special Types of Linear Systems
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Question: Which graph corresponds to the linear system that has no solution?
A ) Graph 4
B ) Graph 3
C ) Graph 2
D ) Graph 1
Steps to derive
1
If two equations have same slope and different
y
-intercept, then the linear system has no solution.
2
It can be observed that graph 3 has the two lines with same slope and different
y
-intercepts.
3
So, graph 3 corresponds to the linear system that has no solution.
Hence the right answer is Option B
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