1. Solve the following system by graphing and identify the point of intersection

Algebra
Tutor: None Selected Time limit: 1 Day

1. Solve the following system by graphing and identify the point of intersection.

https://tcan4424-oakcliff-ccl.gradpoint.com/Resour...

2.What is the solution to the system of equations?https://tcan4424-oakcliff-ccl.gradpoint.com/Resour...


3. Without graphing, classify the following system as independent, dependent, or inconsistent.

https://tcan4424-oakcliff-ccl.gradpoint.com/Resour...


May 14th, 2015

1. 8.png 

the point of intersection is (1,0)

2. -3x-3y+2z=-7

     z=1

     -2x+3y+z=-6


Let add first equation to the third equation and we get:

-5x+3z=-13

-5x+3=-13

-5x=-16

x=16/5


-3*16/5-3y+2=-7

-3y=3/5

y=-1/5

the answer is x=16/5 , y= -1/5, z=1

3. 

If slopes are different, system is independent.

----

If slopes are same and intercepts are same, system is dependent.

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If slopes are same and intercepts are not the same, system is inconsistent.

-4x-2y=-4

3x-y=13


y=2-2x

y=3x-13

so the following system is independent

May 14th, 2015

The answer choices for # 2 are :

a. (2, 1, –1)

b. (–2, 1, 1)

c. (2, –1, 1)

d. (2, 1, 1)

May 14th, 2015

Just one moment


May 14th, 2015

Ok :)

May 14th, 2015

-3x-3y+2z=-7

     z=1

     -2x+3y+z=-6

Let subtract third equation from the firs equation and we get:

-x+z=-1

-x+1=-1

-x=-2

x=2

-3*2-3y+2*1=-7

-3y=-7+4

-3y=-3

y=1

answer is d. (2, 1, 1)

Sorry, I did mistake in previous solution


May 14th, 2015

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