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What is the solution to the system of equations graphed below ?

What is the solution to the system of equations graphed below ?-example-1
User Brino
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2 Answers

4 votes
The answer is C.....
User Joe The Person
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they intersect at c) 2, -3.

if you look at the graph, look at the point the lines are intersecting at.

if you go down 3 points on the y axis and two points to the right on the x axis,

you will see the x and y values meet up at the line intersection point.

to check our work, we can plug the value (2, - 3) into both equations and see if they both make a valid equation. if they do, this shows that (2, -3) is a valid answer to both graphs.

y = 2x - 7

-3 = 2(2) - 7

-3 = 4 - 7

- 3 = -3

so, the point works for the first equation. what about the second?

y = -x - 1

-3 = -2 - 1

-3 = -3

so, it checks out and both equations fit the point (2, -3) so i am certain this answer is correct.

User SomeCallMeTim
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