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What is the solution to the system of equations graphed below?
y = x-2
y= 4X-5

What is the solution to the system of equations graphed below? y = x-2 y= 4X-5-example-1
User Erendira
by
5.6k points

2 Answers

1 vote

Answer:

1, -1

Explanation:

A.P.E.X 2021

User MrCatacroquer
by
5.6k points
2 votes

Answer:

(1,-1)

That is the ordered pair where they cross.

Explanation:

The solution of the system is where the pair of lines there cross at.

The intersection is in the fourth quadrant there so your guess should definitely be of the form (positive, negative).

Only one choice is that and it is B.

It really does look like they cross at (1,-1).

To describe how to get from the origin to the intersection, I would say you would need to travel right 1 unit and down 1 unit.

We can even plug in our pair into both equations and see if it works.

y=x-2

y=4x-5

So if we plug in (1,-1) and assuming it is a solution, then both equations will give us the same thing on both sides. Let's try it:

y=x-2

-1=1-2

-1=-1

That's the same thing on both sides.

y=4x-5

-1=4(1)-5

-1=4-5

-1=-1

Again that is the same thing on both sides.

(1,-1) is indeed our solution.

Both the graph and the verification told us that.

User Mark Carey
by
5.1k points
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