is -x-4x=3x??

- anonymous

is -x-4x=3x??

- chestercat

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- anonymous

only if x=0

- mathstudent55

-x is the same as -1x
-4x is -4 x
If you had -1 -4 what do you get?

- mathstudent55

-1 - 4 = ?

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## More answers

- anonymous

-5?

- anonymous

im having a lot of trouble with this Solve the system.
y = 2 - x and y = 4x + 7
(1, 1)
(1, 3)
(-1, 3)
(-1, 1)
no solution
im prettyy sure tis no solution

- mathstudent55

Right, so since -1 - 4 = -5, then -x - 4x = -5x

- mathstudent55

Now the system. Again, you have the two equations solved for y already, so use substitution.

- mathstudent55

Do you remember from the two previous systems what to do next?

- anonymous

yes im working ion it

- mathstudent55

Ok, let me see what you're up to since you're having trouble with it.

- anonymous

ok so i had 2-x=4x+7
2-x +2=4x+7+2
-x=4x+9
-x-4x=9
now im stuck

- mathstudent55

The 2 on the left side is positive, so you need to subtract 2 from both sides.

- anonymous

-x (so -1x) take away 4 more x's.
It's like being $1 in the hole in the bank account.
Spend four more bucks, and you are $5 in the whole, not $3.
However...
-x - 4x = 3x is interesting because:
-x - 4x + x = 3x + x
Then we have -4x = 3x
Then as said above, if x = 0, then it is true, otherwise no.
Hope this helps.

- mathstudent55

2 - x = 4x + 7
2 - 2 - x = 4x + 7 - 2
-x = 4x + 5
Now subtract 4x from both sides

- anonymous

-4-4x=5

- mathstudent55

-x - 4x = 4x - 4x + 5
-5x = 5

- anonymous

x=-1?

- mathstudent55

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- mathstudent55

right, x = -1

- mathstudent55

Now insert this value of x in one of the original equations, and solve for y

- anonymous

sorry i had to do something i do it one sec

- anonymous

1,3 ?

- mathstudent55

y = 3. You're right, but remember x = -1, not x = 1

- anonymous

thanks you!

- mathstudent55

|dw:1356283635553:dw|

- mathstudent55

You're welcome.

- anonymous

one more question The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2.
True
False

- anonymous

i think its true

- mathstudent55

Substitute the ordered pair into both equations. If it makes them both true, it's a solution.

- anonymous

ok i did it its true

- mathstudent55

-4x + 2y = 2
Try (-1, -1)
Is -4(-1) + 2(-1) = 2 ?
4 - 2 = 2? Yes. The ordered pair works in the first equation.
Now try the second.
x + y = -2
Is -1 + (-1 ) = -1 true?
-2 = -2. It's true.
You are correct, (-1, -1) is a solution.

- mathstudent55

Good job!

- anonymous

=D

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