SOLUTION: I need help with: Solving Linear Equations with variables on both sides. Ex: 4x + 27 = 3x 8 - 9t = 21t - 17 Solving Decimal Equations: Ex:

Algebra ->  Linear-equations -> SOLUTION: I need help with: Solving Linear Equations with variables on both sides. Ex: 4x + 27 = 3x 8 - 9t = 21t - 17 Solving Decimal Equations: Ex:       Log On


   

Question 110800This question is from textbook Algebra I
: I need help with:
Solving Linear Equations with variables on both sides.
Ex: 4x + 27 = 3x
8 - 9t = 21t - 17
Solving Decimal Equations:
Ex: 12.67 + 42.35 = 5.34x 26.58
7.45x - 8.81 = 5.29 + 9.47x
Formulas and Functions:
(Directions from book: Rewrite the equation so that 'y' is a function of 'x'.)

Ex: 2x + y = 5
3(x - 2y) = -12(x + 2y)
Please help.
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kels_5566@hotmail.com This question is from textbook Algebra I

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B27=3x Start with the given equation



4x=3x-27Subtract 27 from both sides


4x-3x=-27 Subtract 3x from both sides


x=-27 Combine like terms on the left side

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Answer:
So our answer is x=-27





8-9t=21t-17 Start with the given equation



-9t=21t-17-8Subtract 8 from both sides


-9t-21t=-17-8 Subtract 21t from both sides


-30t=-17-8 Combine like terms on the left side


-30t=-25 Combine like terms on the right side


t=%28-25%29%2F%28-30%29 Divide both sides by -30 to isolate t



t=5%2F6 Reduce

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Answer:
So our answer is t=5%2F6 (which is approximately t=0.833333333333333 in decimal form)




7.45x-8.81=5.29%2B9.47x Start with the given equation


100%287.45x-8.81%29=100%285.29%2B9.47x%29 Multiply both sides by 100 to move the decimal on each number 2 times. This will make every number a whole number.

745x-881=529%2B947x Distribute and multiply


745x=529%2B947x%2B881Add 881 to both sides


745x-947x=529%2B881 Subtract 947x from both sides


-202x=529%2B881 Combine like terms on the left side


-202x=1410 Combine like terms on the right side


x=%281410%29%2F%28-202%29 Divide both sides by -202 to isolate x



x=-705%2F101 Reduce

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Answer:
So our answer is x=-705%2F101 (which is approximately x=-6.98019801980198 in decimal form)







2x%2By=5 Start with the given equation



y=5-2xSubtract 2x from both sides. Now y is a function of x

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Answer:
So our answer is y=5-2x






3%28x-2y%29=-12%28x%2B2y%29 Start with the given equation



3x-6y=-12x-24y Distribute


-6y=-12x-24y-3xSubtract 3x from both sides


-6y%2B24y=-12x-3x Add 24y to both sides


18y=-12x-3x Combine like terms on the left side


18y=-15x Combine like terms on the right side


y=%28-15x%29%2F%2818%29 Divide both sides by 18 to isolate y


y=%28-5%2F6%29x Reduce


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Answer:
So our answer is y=%28-5%2F6%29x