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How many solution does this linear system have 2x-y=7 y=2x+3

How many solution does this linear system have 2x-y=7 y=2x+3-example-1
User Kevin Dion
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1 Answer

3 votes

Answer:

NO SOLUTION

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.

User DamiToma
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4.9k points