Question

Select the system of equations that corresponds to the given graph.

4x + 2y = 12
4x + 2y = 4


2x + 3y = 4
6x + 9y = 12


2x + 4y = 12
2x + y = 3


2x + 3y = 8
−x + y = −4

Answer 1

For this particular set of systems, there's only one for which the point (4,0) works.

Answer 2

(4,0) is the point where both lines intersect.

Answer 3

I know, so how does that help me?

Answer 4

You insert the (x,y) = (4,0) into each set of equations to figure out for which system the point is true.

Answer 5

Take each system of equations.
For each equation in the system, let x = 4, and y = 0.
If this ordered pair makes BOTH equations true, then that system is the one you are looking for.

Answer 6

Ahhh ok Thank You!!!!

Answer 7

That's pretty much the same thing I said.

Answer 8

Correct.

Answer 9

The most important point is the first one @Hero made.

This method works here because only one of the 4 systems of equations has (4, 0) as a solution. The poroblem could have had 4 different systems of equations with the same solution, (4, 0), and then you'd have to pick the correct one by coming up with the corect equations that are graphed.