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

Answer 1

Multiply each side by the denominators and simplify.

#-3 / color(red)(x+1) = 4/color(blue)(x-1)#

First, multiply the denominators by both sides.

#-color(blue)(3(x-1))/color(red)(x+1) = 4#
#-color(blue)(3(x-1))= color(red)(4(x+1)#

Next, make the brackets larger.

#color(blue)(-3x+3) = color(red)(4x + 4)#

Flip the equation around.

# -3x - 4x = 4 - 3#
Double check your answer by substituting #x=-1/7# back into the original equation.
#-3 / color(red)(-1/7+1) = 4/color(blue)(-1/7-1)#
#color(red)(-3.5 = color(blue)(-3.5)#
Therefore, your answer #x=-3.5# is correct.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To solve the equation -3/(x+1)=4/(x-1), you can start by cross-multiplying to eliminate the fractions. This gives you -3(x-1) = 4(x+1). Simplifying further, you get -3x + 3 = 4x + 4. Combine like terms by adding 3x to both sides, which gives you 3 = 7x + 4. Subtract 4 from both sides to isolate the variable, resulting in -1 = 7x. Finally, divide both sides by 7 to solve for x, giving you x = -1/7.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7