SOLUTION: these four equations may look different, But three of them have the same graph. which is different? Explain a. y=3/2x+2 b. 2y+3x=4 c. (y-5)=3/2(x-2) d. 2y-3x=4

Question 174321This question is from textbook algebra 1
: these four equations may look different, But three of them have the same
graph. which is different? Explain
a. y=3/2x+2
b. 2y+3x=4
c. (y-5)=3/2(x-2)
d. 2y-3x=4 This question is from textbook algebra 1

Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Solve b, c, and d for y. You will note that 3 of the 4 equations have a positive slope and one of them, the different one, has a negative slope.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's solve the second equation for y

Start with the second equation.

Subtract from both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

Notice how this equation is NOT equivalent to any other equation (so far at least).

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Now, let's solve the third equation for y

Start with the third equation

Distribute

Multiply and to get

Add 5 to both sides to isolate y

Combine like terms and to get

So this equation is identical to the first equation in part a)

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Now, let's solve the fourth equation for y

Start with the fourth equation.

Add to both sides.

Rearrange the terms.

Divide both sides by to isolate y.

Break up the fraction.

Reduce.

So this equation is identical to the first equation in part a) (and in part c)

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So the only equation that is NOT identical to the equation in part a) is the equation in part b)

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Answer:

The only different equation is

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