Question 110800
{{{4x+27=3x}}} Start with the given equation




{{{4x=3x-27}}}Subtract 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}}} 


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




{{{-9t=21t-17-8}}}Subtract 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=(-25)/(-30)}}} Divide both sides by -30 to isolate t




{{{t=5/6}}} Reduce


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Answer:

So our answer is {{{t=5/6}}}  (which is approximately {{{t=0.833333333333333}}} in decimal form)



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{{{7.45x-8.81=5.29+9.47x}}} Start with the given equation



{{{100(7.45x-8.81)=100(5.29+9.47x)}}} 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+947x}}} Distribute and multiply



{{{745x=529+947x+881}}}Add 881 to both sides



{{{745x-947x=529+881}}} Subtract 947x from both sides



{{{-202x=529+881}}} Combine like terms on the left side



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



{{{x=(1410)/(-202)}}} Divide both sides by -202 to isolate x




{{{x=-705/101}}} Reduce


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Answer:

So our answer is {{{x=-705/101}}}  (which is approximately {{{x=-6.98019801980198}}} in decimal form)





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{{{2x+y=5}}} Start with the given equation




{{{y=5-2x}}}Subtract 2x from both sides. Now y is a function of x


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Answer:

So our answer is {{{y=5-2x}}} 



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{{{3(x-2y)=-12(x+2y)}}} Start with the given equation




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



{{{-6y=-12x-24y-3x}}}Subtract 3x from both sides



{{{-6y+24y=-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=(-15x)/(18)}}} Divide both sides by 18 to isolate y



{{{y=(-5/6)x}}} Reduce



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Answer:

So our answer is {{{y=(-5/6)x}}}