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The system of equations y = 2x - 1 and y = - 1/4 x + 3 is shown on the graph below.

User BinariedMe
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7.7k points

2 Answers

4 votes

Answer:

The answer is A. 1 3/4, 2 1/2

Explanation:

User Real Dreams
by
8.9k points
6 votes

Answer:

Choose something close to (1.8,2.6)

Choice A

Explanation:

Without the graph provided, I would prefer to do this algebraically.

y=2x-1

y=-1/4x+3

Since both are solved for y, I'm going to replace the first y with what the second y equals.

-1/4x+3=2x-1

I don't really like to deal with fractions quite yet so I'm going to multiply both sides by 4.

-1x+12=8x-4

I'm going to add 1x on both sides.

12=9x-4

I'm going to add 4 on both sides.

16=9x

I'm going to divide both sides by 9

16/9=x

This is the same as saying x=16/9.

Now to find y, just choose one of the equations and replace x with 16/9.

y=2x-1

y=2(16/9)-1

y=32/9-1

y=32/9-9/9

y=(32-9)/9

y=23/9

So the exact solution is (16/9,23/9).

Round these numbers to the nearest tenths you get:

(1.8, 2.6) .

To get this I just typed into my calculator 16 divided by 9 and 23 divided by 9

16 divided by 9 gave me 1.777777777777777777777777777

23 divided by 9 gave me 2.5555555555555555555555555

So choose something close to (1.8, 2.6).

So your ordered pair (1.75,2.5) is pretty close to that so choice A.

User Viggnah
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8.2k points

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