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Vika [28.1K]
3 years ago
9

A system of equations is shown on the graph below. How many solutions does this system have?

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

The system has no solution

Step-by-step explanation:

we know that

The solution of the system of two linear equations, is the intersection point both lines.

In this problem

The lines are parallel, the lines don't intersect

therefore

The system has no solution

Remember that, if two lines are parallel then their slope are equal

<u><em>Verify that the slopes are the same</em></u>

<em>Blue line</em>

take the points  (0,2) and (-2,0)

m=(0-2)/(-2-0)=1

<em>Red line</em>

take the points  (0,-3) and (3,0)

m=(0+3)/(3-0)=1

The slopes are equal

The lines are parallel

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Step-by-step explanation:

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