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Solve the equation ,multiple, determine a variable

label Algebra
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Oct 20th, 2017

14. To solve for x, x must be isolated:

Step 1:distribute

3(x-5)= -2(4x+6)

3(x)-3(5) = -2(4x)+ -2(6)

3x-15= -8x-12


Step 2: move variables to one side of equation:

3x-15= -8x -12

+8x      +8x

11x-15= -12


Step 3: isolate x

11x-15= -12

      +15    +15

11x=3

/11   /11

x= 3/11


15. Negative one (-1) times the sum of twice a number and 3 (*2x+3) is equal to (=) two times the difference of -4 times the number and three (2(-4x-3)). 

What is the number?

-1(2x+3)=2(-4x-3)

Solve the same way as 14


15. bicycle cost =$175

saved money=$35

needs money in 6 weeks

how much money should he save each week?

SO:

the equation is:

totalcost=money saved+money needed each week times 6

175=35+6d

where d is the amount needed each week


16.

13.95= 1CD cost

1.95= one time fee

total= 85.65

equation:

total=one time fee+ amount of cds(1 CD cost)

85.65=1.95+n(13.95)

-1.95    -1.95

83.70=13.95n

/13.95  /13.95

6=n

She bought 6 CDs



Hope that helps!

Aug 19th, 2014

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