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valkas [14]
3 years ago
11

How many solution does 2x – 1 = 1 – 2x have?

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

Answer:

1

Step-by-step explanation:

Hello,

2x – 1 = 1 – 2x

<=> 2x-1+2x=1

<=> 4x-1=1

<=> 4x = 1+1=2

<=> x = 2/4 = 1/2

Then there is only one solution.

Thanks

Simora [160]3 years ago
5 0

Answer:

one solution, x = 1/2

Step-by-step explanation:

2x -1 = 1 -2x

solve using inverse operations

2x -1 = 1 - 2x

+1        +1

2x = 2 -2x

+ 2x   +2x

4x = 2

/4   /4

x = 1/2

hence this equation has one solution x = 1/2

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It’s late work and I’ve forgotten how to do it
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You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable.  You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation.  If the x coefficient is 2, then you have to multiply the entire other equation by -2.  If the y coefficient is -5, then you have to multiply the entire other equation by 5.


10)
-4x + 9y= 9
x - 3y= -6

STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24

STEP 2:
add the top equation and the equation from step 2

-4x + 9y= 9
4x - 12y= -24
the x term cancels out

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divide both sides by -3

y= -5

STEP 2:
substitute the y value in either original equation to solve for x

x - 3y= -6
x - 3(-5)= -6

x + 15= -6
subtract 15 from both sides

x= -21

ANSWER: x= -21; y= -5
____________________

12)
-7x + y= -19
-2x + 3y= -19

STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x

-3(-7x + y)= -3(-19)
21x - 3y= 57

STEP 2:
add the bottom equation and the equation from step 2 to solve for x

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21x - 3y= 57
the y term cancels out

19x= 38
divide both sides by 19

x= 2

STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation

-7x + y= -19
-7(2) + y= -19

-14 + y= -19
add 14 to both sides

y= -5

ANSWER: x= 2; y=-5

Hope this helps!  :)

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Find the surface area of the following figure below. Use 3.14 for pi
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Question:

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Answer:

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