chaveslizzy
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

agramontetr

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:[tex]\neq[/tex]

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 [tex]\neq[/tex] 6. Let's look at the other equation.

(2) + (1) = 3

Again, as you can see, 3 [tex]\neq[/tex] 2.

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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.