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Mathematics 9 Online
zarkam21:

How to determine how many solutions>

zarkam21:

1 attachment
Vocaloid:

Step 1. Calculate the slopes. If slopes are different, then 1 solution. If slopes are same, move to step 2. Step 2. Calculate y-intercept. If y-intercepts are different, then no solution. If y-intercepts are the same, then the two lines are the same and there are infinite solutions.

zarkam21:

zero

Vocaloid:

hint: multiply equation 1 by 2

zarkam21:

C

Vocaloid:

what do you get when you multiply equation 1 by 2?

zarkam21:

2y=12.5x+8

Vocaloid:

hint: what is 5/2 * 2 = ?

zarkam21:

5

Vocaloid:

good, so what do you get when you multiply equation 1 by 2?

zarkam21:

2y=5x+8

Vocaloid:

check your last number again

Vocaloid:

2*2 = ?

zarkam21:

4

zarkam21:

wouldn't it do 4*2

zarkam21:

I*

Vocaloid:

|dw:1510029533533:dw|

Vocaloid:

|dw:1510029538924:dw|

zarkam21:

oh okay I thought I would multiply the equations with each other

zarkam21:

That's where I got confused

Vocaloid:

good, so we have 2y = 5x + 4 2y = 5x + 4 since we have two of the same equation, we have two overlapping lines and an infinite number of solutions

zarkam21:

for one for than one solution we would have the same slope right?

zarkam21:

For more than one solution**

Vocaloid:

yes, same slope AND same y-intercept

zarkam21:

and then for infinite the whole equation would mimic

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