Home > Algebra > Clearing Denominators in Rational Equations

How do you solve #3/(x+2)=2/(x+5)#?

Answer 1

Kennedy Adams

See explanation

Well you have that

#3/(x+2)=2/(x+5)=>3*(x+5)=2(x+2)=>3x+15=2x+4=> x=-11#

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

Answer 2

Isaiah Anthony

To solve the equation 3/(x+2) = 2/(x+5), you can start by cross-multiplying. Multiply 3 by (x+5) and 2 by (x+2). This gives you 3(x+5) = 2(x+2). Next, distribute the numbers: 3x + 15 = 2x + 4. Combine like terms by subtracting 2x from both sides: x + 15 = 4. Finally, subtract 15 from both sides to isolate x: x = -11. Therefore, the solution to the equation is x = -11.

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

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.