contestada

Appreciate for help on this! Thank you in advance!

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.

Respuesta :

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

Otras preguntas