Question

Tell whether the ordered pair is a solution of the system of linear equations.

Answer 1

To figure out if the ordered pairs are a solution to the equations, you would need to plug in the points. Your points are ordered as (x,y)

You would plug in the number that's in the x spot in x, and the number in the y spot in y.

Let's start of with the first problem:

First thing you would do is plug in (-1) to x, and 6 to y.

Your equations would look like this:

6(-1) + 3(6) = 18

2(-1) + 6 = 7

What you would now do is solve the equations. When you solve them, you would get these answers

12 = 18

4 = 7

For #1, it would be no solution because the numbers do not equal each other. (Fun fact) If one of them ends up as a solution, but the other is no solution, the answer would be no solutions because BOTH of them have to be a solution to the equations given in order to be a solution.

If you do the same strategy, (plugging in the numbers to x and y), you would get the rest of the answers for the problems.

I hope this helps, if you need any more assistance, I would be glad to help!