Question

The system of equations shown below is graphed on a coordinate grid:

4y + x = 4
2y − x = 8

Which statement is true about the coordinates of the point that is the solution to the system of equations?

It is (2, 5) and lies on both lines.
It is (−4, 2) and lies on both lines.
It is (2, 5) and does not lie on either line.
It is (−4, 2) and does not lie on either line.

Answer 1

@lolacole12

Answer 2

plug in the values from the options into each equation and see which one fits both equations.

Answer 3

If they do fit then the point lies on both lines

Answer 4

so B

Answer 5

would you mind showing the work you've done to check your own answers?
I could give you more meaningful feedback when i've seen what you've done.

Answer 6

@traygotswagg - we would like to see how you got that.

Answer 7

i just guess it

Answer 8

@whpalmer4

Answer 9

traygotswagg Do you know how to solve the equations?

Answer 10

i think the answer is C AM I CORRECT

Answer 11

You can EASILY solve the equations.
Add the equations.
What do you get?

Answer 12

A

Answer 13

I MENT D

Answer 14

You are just making guesses.
ADD these 2 equations
4y + x = 4
2y − x = 8

Answer 15

OK ITS D

Answer 16

You are still just making guesses.
CAn you add those equations?

Answer 17

NO I ADDED IT AND GOT D

Answer 18

So what is the result when you add the 2 equations?

Answer 19

its d i dont need help any more thank you though

Answer 20

Okay

Answer 21

@traygotswagg If you think the correct answer is D you are in for a rude awakening. Are you sure you don't need any help?

A point which is a solution is by definition a point which IS on the lines, the point of intersection (assuming the lines are not identical, in which case every point on the line is a solution). If the point \((-4,2)\) does not lie on either line, it is not a solution.