112k views
3 votes
How can we get system B for system A?

And

Are the systems equivalent?​

How can we get system B for system A? And Are the systems equivalent?​-example-1
User AzzamAziz
by
8.2k points

1 Answer

2 votes

Answer: Subtract the equations in system A.

=============================================================

Step-by-step explanation:

The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.

There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.

For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y

So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.

Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.

Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.

User Hywel Rees
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories