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How do you solve #3/(2x-1) - 4/(3x-1) = 1#?

Answer 1

Julia Adams

#"answer is x=1"#

#3/(2x-1)-4/(3x-1)=1#

#(3(3x-1)-4(2x-1))/((2x-1)(3x-1))=1#

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

#cancel(9x)-3-cancel(8x)+4=6x^2-2x-3x+1#

#x+1=6x^2-5x+1#

#6x^2-5xcancel(+1)-x cancel(-1)=0#

#6x^2-6x=0#

#cancel(6)x^2=cancel(6)x#

#cancel(x^2)=cancel(x)#

#x=1#

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Answer 2

Ethan Adkins

To solve the equation 3/(2x-1) - 4/(3x-1) = 1:

Find a common denominator for the fractions.
Combine the fractions on the left side of the equation.
Solve for x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.