Question

how many solutions does the following system have ?

2x+3y=1
-3x-2y=-1

A.infinitely many solutions

b.two solutions

c.one solution

d.no solutions

Answer 1

Try to set the system up for elimination.
lets look just the x's
we have 2x in the first and -3x in the second
the lcm of 2 and 3 is 6
so if we get one of the coeifficients to be 6 and the other to be -6 then all is left is adding the equations to eliminate the x part and solve for the y part
then go back and solve for the x when we have the y
anyways
multiply the first equation by 3 and multiply the second equation by 2

Answer 2

then add the equations after doing that

Answer 3

@candy13106 you're wrong

Answer 4

how

Answer 5

only one solution

Answer 6

because it would be a solution , it would be one

Answer 7

but how when i graphed it , it wouldn't intersect

Answer 8

check the determinant. it is non singular

Answer 9

and when line dont intersect they r no solution

Answer 10

but i just took the test and it said the correct answer was one solution

Answer 11

i sure believe u look at your score and look at mine

Answer 12

@bluerobinbird
Have you tried doing what I suggested?

Answer 13

check my attachmnet

Answer 14

*suppose

Answer 15

ok im just not going to make a big deal out of it

Answer 16

i just did @princer ...um and yes i did *@freckles &it doesn't matter i only got one wrong anyway so @candy13106

Answer 17

ok so good bye and have a nice day people

Answer 18

Check this one, it has a general rule.

Answer 19

ok ,so my question didn't have no solution im kind of confused

Answer 20

no it has only one solution, here ad-bc is non zero and the rhs of both are equations are non zero.

Answer 21

ok this time you wont have any confusion, check this out

Answer 22

kind of what i was trying to say , my computer said the correct one was 1 solution i clicked no solution , but what you just said "no it has only one solution, here ad-bc is non zero and the rhs of both are equations are non zero."
just confused ,me because you're saying that it has 1 solution but also no solution (basically )

Answer 23

Put x=1/5 and y=1/5 on the lhs of both the equations. see you will get their corresponding rhs, hence (1/5,1/5) is a solution. and this solution is unique, i.e. only one solution

Answer 24

i never said no solution.

Answer 25

oh it make sense now so what do you mean by non zero then ? what's a non zero ? never heard of that

Answer 26

non zero means a number other than 0

Answer 27

oh duh ... lol

Answer 28

common sense right .. but thanks for your help

Answer 29

you know how to do MATRIX ?

Answer 30

Yeah.

Answer 31

can you help me with one ...

Answer 32

ok.. sure

Answer 33

ok hold on

Answer 34

8 7 + 4 -3
-6 5 + 1 13

@princer_jones

Answer 35

What is the question ? to find [8 7]+[4 -3]?

Answer 36

And [-6 5]+[1 13]?

Answer 37

@bluerobinbird

Answer 38

Just to clarify this, to check how many solutions an equation has, you look at the highest exponent. So for this one it's only one solution because the x is only raised to the 1st power.

if x or y happened to be x^3 or y^3 there would be three solutions.