Question

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6. Substitute the x and y values into the equation above to see if the ordered pair is a solution to the linear equation.

Answer 1

The fifth and sixth answer are solutions.

Explanation:

If you substitute the x and y values, essentially multiplying them by the already existing coefficents, you realize that a lot of the equations do not equal 6.

The last two however, do.

Answer 2

1. Not a solution

2. Not a solution

3. Not a solution

4. Not a solution

5. A Solution

6. A solution

Step-by-step explanation: 5 is correct because it is 3 times 2 so 6, but there is no y so the final answer is 6. And the last one is 6 x 2 = 12 and then -2 x 3 = - 6, so 12 - 6 = 6.

Hope this helps