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3.Several systems of equations are given below.




System 1

y = 6x – 1.5

y = –6x + 1.5



System 2

x + 3y = –6

2x + 6y = 3



System 3

2x –y = 5

6x – 3y = 15


explanations would be great!!!


a.Which system of equations is consistent-independent? How many solutions will the system of equations have? Explain your answers.


b.Which system of equations is consistent-dependent? How many solutions will the system of equations have? Explain your answers.


c.Which system of equations is inconsistent-independent? How many solutions will the system of equations have? Explain your answers.

Verified Answer :

apologiabiology

independent means the equations are differnt

dependent means that they have infinite solutions aka they are the same line

consistiant means it has at leas 1 soltuion

inconsistent means tat they do not intersect at all

solve each
1. 6x-1.5=-6x+1.5
12x=3
x=0.25
y=6(0.25)-1.5
y=1.5-1.5
y=0
(1/4,0)
consistant and independent



2.
-2x-6y=12
2x+6y=3 +
0=15
false
independent and inconsistint

3.
if we muliply the first equation by 3, we get that they are the same equation meaning
dependent and consistent




1.C
2. A
3. B

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