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Mnenie [13.5K]
3 years ago
11

Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system? (2

points) No Solutions Infinite Solutions (3, 2) (9, 2)

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

The system has infinite solutions

Step-by-step explanation:

Notice that the 2nd eq can be written as y=3x+2, exactly the same first equation, so it doesnt give anything to solve it

You can see the attached picture represents the eq. 1

The second eq. is also represented in that picture, just it doenst seems, because it is hide under the first

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Step-by-step explanation:

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Slope Intercept Form And Equations From Graphs
r-ruslan [8.4K]

Answer:

1. Choice B

2.  Choice C

3.  X=-2

4.  Choice A

5. y = 5/2 x + 5

Step-by-step explanation:

1.  

   the slope is down 3 over 2     m =-3/2

point slope form

y-y1= m (x-x1)

y-y1 = -3/2 (x-x1)

Choice B


2.  (-3,-1)  (1/2,2)

slope = (y2-y1)/(x2-x1)

m=(2--1)/(1/2--3)  = (2+1)/(1/2+3) = 3/(3.5) =  multiply top and bottom by 2

  m = 6/7

point slope form

y-y1 = m(x-x1)

y--1 = 6/7 (x--3)

y+1 =6/7 (x+3)

multiply by 7

7y+7 = 6(x+3)

7y+7 = 6x+18

subtract 7y from each side

7 = 6x-7y+18

subtract 18 from each side

-11=6x-7y

Choice C


3.  x=-2

This is a vertical line, the value of x never changes


4.   (-1,2) (1,-4)

slope =(y2-y1)/(x2-x1)

      = (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3

point slope form

y-y1 = m(x-x1)

y-2 = -3(x--1)

y-2 = -3(x+1)

y-2 = -3x-3

add 2 to each side

y = -3x-1

Choice A


5.  (-2,0)  (0,5)

the y intercept is 5

slope is change in y over change in x

slope =(y2-y1)/(x2-x1)  = (0-5)/(-2-0) = -5/-2 = 5/2

slope intercept form

y= mx+b

y = 5/2 x + 5



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