40.6k views
4 votes
1) How would you test whether (2, -2) is a solution of the system?

2) Is it a solution?

1) How would you test whether (2, -2) is a solution of the system? 2) Is it a solution-example-1

1 Answer

4 votes

When you’re given two coordinates, recall that the coordinates are in the format of (x, y).

Knowing this, you know that in the coordinate (2, -2) the value of x equals 2 and the value of y equals -2.

Thus, we can put these variables into the two given equations and see if the equations hold.

-2 < -2(2) + 3

-2 < -4 + 3

-2 < -1

As you can tell, the first equation holds since -1 is bigger than -2.

Onto the second equation.

-2 ≥ 2 - 4

-2 ≥ -2

As you can tell, the second equation holds as well since -2 equals -2.

This means that yes, (2, -2) is a valid solution.

User Yoel Nunez
by
7.5k 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