Question

Heather writes the equations below to represent two lines drawn on the coordinate plane.

–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?

Answer 1

The equation has no solution; therefore, the system of equations has no solution.
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

Answer 2

Is it A

Answer 3

@Babynini

Answer 4

hrm, i'm not sure. Try plugging (0, 60) into both equations and see if it comes out true.

Answer 5

nope

Answer 6

Correct. Now try plugging in (0,0) to see if that's true.

Answer 7

nope

Answer 8

the first one is right but the second part is wrong

Answer 9

Right on, So we know it's not B or D.

Answer 10

then its a

Answer 11

mhm! another solution to this would be that the girl in the problem reached 0 = 60 which is clearly not true. So there's no solution!

Answer 12

thank u very much i have one more question

Answer 13

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

q + d = 6
25q + 10d = 33
q + d = 6
0.25q + 0.1d = 33
q + d = 33
25q + 10d = 6
q + d = 33
0.25q + 0.1d = 6

Answer 14

Er, which do you think? I'm not sure.

Answer 15

It will be on that ends in =6, I'm pretty sure.

Answer 16

i think it either a or b

Answer 17

Sorry I can't help you out! I'm not sure at all :P Maybe try asking this question on a new question thing.

Answer 18

its ok thanks for trying though :)

Answer 19

Sure thing ^-^

Answer 20

good luck!