inconsistent and dependent consistent and dependent consistent and independent i

Question

inconsistent and dependent

consistent and dependent

consistent and independent

inconsistent and independent

NEXT........

(–1.5, 0)

(0, –1.5)

(0, 1.5)

(1.5, 0)

NEXT..........

NEXT.........

y = 9x2 + 6x + 4

y = 6x2 – 12x – 6

y = 3x2 + 7x + 5

y = 2x2 + 8x + 8

NEXT............

What is the solution to the following system of equations?

(–5, 5)

(5, –5)

no solution

infinite solutions

Last.....this is a parent trying to check her child and his time has been shortened because a different person is working the program and mom just can't figure it out fast enough at ALL..so thanks a BUNCH!!!

Explanation / Answer

Question 1): solve x-y-z=0, 2x-y+2z=1, x-y+z=-2

Answer:

x-y-z=0...(i)

2x-y+2z=1...(ii)

x-y+z=-2...(iii)

solve (i) for x

x-y-z=0

x=y+z...(iv)

plug (iv) into (ii)

2(y+z)-y+2z=1

2y+2z-y+2z=1

y+4z=1

y=-4z+1...(v)

plug (v) and (iv) into (iii)

(y+z)-(-4z+1)+z=-2

y+z+4z-1+z=-2

(-4z+1)+6z-1=-2

-4z+1+6z-1=-2

z=-1

plug value of z=-1 into (v)

y=-4z+1=-4(-1)+1=5

plug value of y=5 and z=-1 into (iv)

x=y+z=5-1=4

we are getting unique solution x=4, y=5, z=-1.

Hence consistent and independent will be correct choice.

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