What is the answer to this equation 24/r-3=36/r+3

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Posted on Jan 02, 2017

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A long, fairly thorough way that shows the thinking behind it (usually considerably shorthanded in practice):

1) Rewrite the (negative-signed) elements of the equation so that their signs are clearly attached to them and cannot be confused with operations [you could also add the + in front of the positive-signed elements as well] -->

2.93 + 19j = -j + -5.82 + -11.25

2) Add j to both sides to consolidate all the j's on the same side of the equation [adding the same thing to both sides doesn't change the balance/value of the equation] --> 2.93 + 19j +j = +j +-j + -5.82 + -11.25 --> 2.93 + 20j = -5.82 + -11.25

3) Subtract 2.93 from both sides so that the j's are all by themselves on one side of the equation --> 2.93 + -2.93 + 20j = -5.82 + -11.25 + -2.93 --> 20j = -5.82 + -11.25 + -2.93

4) Add up the numbers on the right and rewrite the equation --> 20j = -20

5) Solve for j by dividing both sides by 20 [j's coefficient] --> j = -1

6) Test the answer in the left side of the equation --> 2.93 + 19(-1) --> 2.93 + -19 --> -16.07

7) Test the answer in the right side of the equation --> -(-1) + -5.82 + -11.25 --> 1 + -5.82 + -11.25 --> -16.07

8) Compare and validate: -16.07 = -16.07

1) Rewrite the (negative-signed) elements of the equation so that their signs are clearly attached to them and cannot be confused with operations [you could also add the + in front of the positive-signed elements as well] -->

2.93 + 19j = -j + -5.82 + -11.25

2) Add j to both sides to consolidate all the j's on the same side of the equation [adding the same thing to both sides doesn't change the balance/value of the equation] --> 2.93 + 19j +j = +j +-j + -5.82 + -11.25 --> 2.93 + 20j = -5.82 + -11.25

3) Subtract 2.93 from both sides so that the j's are all by themselves on one side of the equation --> 2.93 + -2.93 + 20j = -5.82 + -11.25 + -2.93 --> 20j = -5.82 + -11.25 + -2.93

4) Add up the numbers on the right and rewrite the equation --> 20j = -20

5) Solve for j by dividing both sides by 20 [j's coefficient] --> j = -1

6) Test the answer in the left side of the equation --> 2.93 + 19(-1) --> 2.93 + -19 --> -16.07

7) Test the answer in the right side of the equation --> -(-1) + -5.82 + -11.25 --> 1 + -5.82 + -11.25 --> -16.07

8) Compare and validate: -16.07 = -16.07

Nov 21, 2017 | Math

See image below

Oct 04, 2016 | Casio FX-9750GII Graphing Calculator

What you want to do is solve the linear equation 2x=10 to find the value of the unknown x that makes the equality true. Solving an equation usually involves rearranging therms, factors and so on. However your calculator was not designed to handle the solution of equations, no matter how simple they are.

Some Casio scientific calculators can solve some types of equations (polynomials of degree 2 or 3, simultaneous linear equations in up to 3 unknowns). These are the FX-115 ES (Plus) and FX-991 ES (Plus C). Other equivalent models are sold in the world under different names.

Some Casio scientific calculators can solve some types of equations (polynomials of degree 2 or 3, simultaneous linear equations in up to 3 unknowns). These are the FX-115 ES (Plus) and FX-991 ES (Plus C). Other equivalent models are sold in the world under different names.

Oct 16, 2013 | Casio FX350MS Scientific Calculator

Do you really need a calculator to solve a linear equation?

Let us see how to solve it without a calculator.

Remove the parentheses fronm the second term on the left : y-3

Use the distributive property on the last term on the right side -2y-6

Take the term -3 to the right side, changing its sign in the process (becomes +3)

Take the -2y term to the left making it +2y.

3y +2y=18+3-6 or 5y=15 and the answer is straightforward .

As to your Casio FX300ES, it cannot solve equations because it does not have an EQUATION calculation mode. The Casios FX-115ES and FX-991ES have an Equation Mode. If you use any of the two to solve an equation in one variable (linear, quadratic or other) the unknown is taken to be x by default. You would have to change the name of the variable from y to x.

Let us see how to solve it without a calculator.

Remove the parentheses fronm the second term on the left : y-3

Use the distributive property on the last term on the right side -2y-6

Take the term -3 to the right side, changing its sign in the process (becomes +3)

Take the -2y term to the left making it +2y.

3y +2y=18+3-6 or 5y=15 and the answer is straightforward .

As to your Casio FX300ES, it cannot solve equations because it does not have an EQUATION calculation mode. The Casios FX-115ES and FX-991ES have an Equation Mode. If you use any of the two to solve an equation in one variable (linear, quadratic or other) the unknown is taken to be x by default. You would have to change the name of the variable from y to x.

Sep 08, 2011 | Casio fx-300ES Calculator

Hi!

You just transfer the number to the other side of the equation, BUT it will become negative. So:

x + 9 = 15 becomes x = 15 - 9

Which becomes x = 6

To check it, replace the x by your answer, which is 6

6 + 9 = 15 is correct, so it means you got the right answer.

Thanks for using Fixya!

You just transfer the number to the other side of the equation, BUT it will become negative. So:

x + 9 = 15 becomes x = 15 - 9

Which becomes x = 6

To check it, replace the x by your answer, which is 6

6 + 9 = 15 is correct, so it means you got the right answer.

Thanks for using Fixya!

Jun 23, 2011 | CyberEd Algebra Equation Solver

This calculator doesn't really support a solver like that. You can use Woflram Alpha to solve equations like that really quickly. Example

There are more expensive calculators that will solve these types of equations, but I would recommend just using Wolfram Alpha whenever you need a solution to a math problem.

There are more expensive calculators that will solve these types of equations, but I would recommend just using Wolfram Alpha whenever you need a solution to a math problem.

Mar 02, 2011 | Casio FX-115ES Scientific Calculator

Pay more attention in math class, do your daily homework or tutorials. If you do not understand the chapter or any math problems, just ask the math teacher directly. He or she is the best bet that can help you directly dealing with your situation.

Just don't forget "In any examinations, it is a test of what you don't know".

Just don't forget "In any examinations, it is a test of what you don't know".

Jul 21, 2010 | Software Publishing Sports Math: Decimals...

"Is there anything that I can do about this to stop my answers being complex numbers when solving cubic equations?"

You are making an assumption that is unwarranted.Namely that a cubic equation must necessarily have 3 real roots. This is not the case.

Let your equation be

If coefficients are complex you should expect some complex roots. Right?

If the coefficients are REAL then depending on the discriminant

you can have three cases

DELTA positive : three distinct real roots

DELTA=0 , the equation has a multiple root and all roots are REAL

DELTA negative: the equation has ONE real root and 2 complex roots that are complex conjugate of each other.

It suffices to look at the Tartaglia/Cardano expressions of the roots to know that more often than not there is going to be complex roots.

You are making an assumption that is unwarranted.Namely that a cubic equation must necessarily have 3 real roots. This is not the case.

Let your equation be

If coefficients are complex you should expect some complex roots. Right?

If the coefficients are REAL then depending on the discriminant

you can have three cases

DELTA positive : three distinct real roots

DELTA=0 , the equation has a multiple root and all roots are REAL

DELTA negative: the equation has ONE real root and 2 complex roots that are complex conjugate of each other.

It suffices to look at the Tartaglia/Cardano expressions of the roots to know that more often than not there is going to be complex roots.

May 05, 2010 | Casio CFX-9850G Plus Calculator

use the simultaneous equation solver software available on ur ti-89 and enter the equation in the form of augmented matrix and you will get ur answer.

Dec 03, 2008 | Texas Instruments TI-89 Calculator

Just plug in one side of the equation and find the answer. Then plug in the other side and compare answers.

Feb 19, 2008 | Texas Instruments TI-89 Calculator

May 25, 2018 | ZTE Cell Phones

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