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14 Q Solve the system of equation by graphing

14 Q Solve the system of equation by graphing-example-1
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User Chutz
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2 votes
Answer:
no solution

Step-by-step explanation:
1- using graphing:
To solve the system of equations graphically means to find the intersect point(s) between the two lines. The solution would be this intersection.
Taking a look at the two graphed lines, we would find that they do not intersect.
This means that there is no solution for these two lines

2- using algebra:
We will get the slopes of the two lines using the formula:
slope = (y2-y1) / (x2-x1)
slope of upper line = (3-4) / (-3-0) = 1/3
slope of lower line = (0--1) / (3-0) = 1/3
The slopes of the two lines are equal. This means that these two lines are parallel which means that they do not intersect which means that the system has no solution

Hope this helps :)

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