How many solution does this linear system have 2x-y=7 y=2x+3
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Answer:
NO SOLUTION
Step-by-step explanation:
We can make this problem easier to understand if we write the system vertically:
2x-y=7
y=2x+3
and then rewrite the first problem in the form y = mx + b:
2x-y=7 ↔ y + 7 = 2x ↔ y = 2x + 7
y=2x+3
Note how these two equations have the same slope, but different y-intercepts. This tells us that the two lines are parallel, which in turn tells us that they never intercept one another.
Thus, this system has NO SOLUTION.