Question

Solve y=2x-1
2x-y-1=0

Answer 1

Replace (2x-1) in the place of y in second equation.

Answer 2

they ask if the system has exactly one solution or if it has infinitely many solutions. which would be my answer for this equation?

Answer 3

Infinitely many solutions

Answer 4

show the steps please

Answer 5

y=2x-1
2x-y-1=0
2x-(2x-1)-1=0
2x-2x+1-1=0
2x-2x=0
So infinitely many solutions

Answer 6

2x-2x=0
2x=2x

Answer 7

why does the 2x=2x if right before that it was 2x-2x=0? wouldn't it be 0=0?

Answer 8

2x-2x=0
0=0

If we add both sides by 2x then..
2x-2x+2x=0+2x
2x=2x

Answer 9

why did you need to add the] 2x?

Answer 10

It's not needed,
2x-2x=0 is enough

Answer 11

If it wasn't needed, why'd you add 2x to -2x and to the 0 ?

Answer 12

If we add 2x also it doesn't matter.
It was just another way of showing that they can have infinite values.

Answer 13

How did you know that it was gonna be infinite value?

Answer 14

2x=2x give any value to x, it's same.

Answer 15

in the beginning why did we have to Replace (2x-1) in the place of y in second equation.
?

Answer 16

i need step by step instructions.

Answer 17

If there are two variables with one equation it's not possible to get the answer.
But in this question there are two equation's only using the variables x and y. So first try to write x in terms of y or y in terms of x.
For Eg.
4x-y=4
You cannot solve the above equation without knowing x or y value or x in terms of y or vice versa.
For above equation if it's given that
y=2x
then replace 2x in place of y so there is only on variable, and you can solve.
4x-2x=4
2x=4
x=2
y=2x=4
Understood?

Answer 18

Ohkay I get it with that example. show me another?

Answer 19

You try to make a question and solve..

Answer 20

Why me? I'm the one that's lost/:

Answer 21

It would improve your ability to make question's. You try to make a question similar to the one you posted.

Answer 22

3x+y=4
-3x=y-7

Answer 23

what would be step by step for this one?

Answer 24

You try to do, I will say, if you made any mistake.

Answer 25

First try to make x in terms of y or vice versa

Answer 26

how do i do that?

Answer 27

3x+y=4
y=4-3x
Substitute this value in second equation

Answer 28

I'm so dumb -_- I don't get what you did to the second equation. I mean like i just dont know how you do that to ever probelm..

Answer 29

yvette, what you need to do is notice that the second equation is all setup with a y=...

so you can use what y equals to substitute into the first equation.

fror example with the one you just posted:

3x+y=4
y=4-3x

you can substitute (4-3x) for the y in the first equation... so...

3x + (4-3x) = 4 then continue to solve...

3x + 4 - 3x = 4 then you should notice that both sides can be made to be the same:

3x + 4 = 3x + 4