Is the point (2,1) a solution to the following system? 3x-2y=6. x+y=2

No

Step-by-step explanation:

Hi,

I believe this is the explanation to the answer.

First of all, we must understand what is meant by a "solution" to a "system." A solution to a system means whatever solutions you get for x and y should be able to satisfy both of the equations in the system.

In here, we have the point (2,1). To test whether it satisfies the two equations in the system, simply plug in the values!

3(2) - 2(1) = 6 - 2 = 4

As you can see, 4 6. Let's look at the other equation.

(2) + (1) = 3

Again, as you can see, 3 2.

Hence, this point (2,1) does not satisfy the two equations, so it's definitely not a solution.

44

step-by-step explanation: