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Mathematics 22 Online
OpenStudy (anonymous):

Check my answer plz!?

OpenStudy (anonymous):

The coordinates below represent two linear equations. How many solutions does this system of equations have? Line 1 x y -4 8 4 6 Line 2 x y -1 1 3 5 A. 0 B. exactly 1 C. exactly 2<<I think its this one D. infinitely many

OpenStudy (solomonzelman):

it is a system of (linear) equations. And their slopes are not parallel. line 1) (8-6)/(-4-4) = 2/-8 = -1/4 line 2) (1-5)/(-1-3)=-4/-4=1 And (usually) 2 non-paralle lines would intersect only once.

OpenStudy (solomonzelman):

2 non-parallel* line, apologize for the mistake.

OpenStudy (anonymous):

Its ok so I was wrong? It would be B

OpenStudy (solomonzelman):

Yup, it's B.

OpenStudy (anonymous):

Thx can u check 2 more plz?

OpenStudy (solomonzelman):

and if lines are parallel, then only would it be no solutions. And if the equations (in a system) are multiples of each other, then only will there be an infinite number of solutions.

OpenStudy (solomonzelman):

but I don't think 2 linear equations can have 2 solutions exactly.

OpenStudy (solomonzelman):

Yes, I can check 2 more.

OpenStudy (anonymous):

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary. Line 1 x y 0 3 1 5 Line 2 x y -1 1 -2 -1 Line 1: y = ?x + ? Line 2: y = ?x +?

OpenStudy (anonymous):

Line1: y=3x+4 Line2: y=2x+-1

OpenStudy (solomonzelman):

syntax error. never write +- like this. do +(-1) like that.

OpenStudy (anonymous):

My bad forgot to type that

OpenStudy (solomonzelman):

okay, so you say that ``` Line1: y=3x+4 Line2: y=2x-1 ``` right?

OpenStudy (solomonzelman):

If so, then the first line is correct. But the second on has an incorrect y-intercept.

OpenStudy (solomonzelman):

second *one...

OpenStudy (anonymous):

Ok let me try again

OpenStudy (solomonzelman):

sure.

OpenStudy (anonymous):

I got the same thing but both numbers negative

OpenStudy (solomonzelman):

(your first line is correct, again, but) the second line has an incorrect y-intercept.

OpenStudy (solomonzelman):

https://www.desmos.com/calculator/dfsakg2dek here is the graph of the points that represent your second line.

OpenStudy (anonymous):

Ok so what do I do from there

OpenStudy (solomonzelman):

Can you tell me the equation of the second line? (the slope is 2, count 2 units up, and 1 unit to the right)

OpenStudy (anonymous):

(1,2)?

OpenStudy (anonymous):

Sorry I got confused :/

OpenStudy (anonymous):

@SolomonZelman ?

OpenStudy (solomonzelman):

the slope of the second line is 2 correct?

OpenStudy (solomonzelman):

you have a point, (-1,1) shift it 2 units up and 1 unit to the right.

OpenStudy (solomonzelman):

what do you get for the y-intercept?

OpenStudy (anonymous):

(-1.5,2)

OpenStudy (solomonzelman):

again, use the https://www.desmos.com/calculator/dfsakg2dek . See the point (-1,1) ? then go 1 unit to the right and 2 units up.

OpenStudy (anonymous):

Its on the 2 line

OpenStudy (solomonzelman):

yes.

OpenStudy (anonymous):

So line2 would be y=2x+?

OpenStudy (anonymous):

If u dont want to help me its alright just tell me so I can find someone else to

OpenStudy (solomonzelman):

+3.

OpenStudy (solomonzelman):

Line1: y=3x+4 Line2: y=2x+3

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