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17 votes
17 votes
The solution of a system of linear equations is where the two lines intersect....

True or False?!​

User Personaelit
by
3.1k points

2 Answers

18 votes
18 votes

Answer:

True

Explanation:

The place where lines intersect is where the x and y values match up.

Just like this, if the lines do not intersect, there's no solution.

If the lines seem to be one line, there is all real number solutions.

Hope this helped!

User Todd Ropog
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3.2k points
10 votes
10 votes

Answer:

Explanation:

True.

There is only 1 intersection point. That is the point where the x and y values are the same for both equations. For example if you have

y = 2x + 5 and

y = 3x + 2

The intersect point is (3,11). If you put 3 in each equation for x, they will return 11 for the y value.

I've included a graph to show you that this is true.

The solution of a system of linear equations is where the two lines intersect.... True-example-1
User Zoltan Varadi
by
2.5k points