Solve a rational equation by eliminating the denominators

👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we usually cross-multiply the two ratios and then solve for the unknown using the applicable operations.

Alternatively, we can multiply the two ratios by the LCM of the denominators of the two ratios. This eliminates the denominators, we then solve the resulting equation accordingly to obtain the unknown variable.

It is very helpful to check your results by substituting them into the original equation to see if they are true. This also helps to identify the extraneous solutions. An extraneous solution is a solution which is obtained during the course of solving an equation but which does not hold true for the original equation.

Organized Videos:
✅ How to Solve Rational Equations
✅ How to Solve Rational Equations with Trinomials
✅ How to Solve Rational Equations with Binomials
✅ How to Solve Rational Equations with Monomials
✅ How to Solve Rational Equations with an Integer
✅ How to Solve Rational Equations | Learn About
✅ How to Solve Proportions with Binomials
✅ How to Solve Proportions with Trinomials

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[malcolmlee]

Great explanation and all, but what kind of tea was it???

[vaibhavmishra]

Fantastic explanation.. Sir im from India but understand it very easily.. Thank u so much 🙏namastey

[keerthikab]

Thank you, your explanation was amazing, I would think that why can't u be my maths teacher.

[akshaykarthik]

thank you soo much because of this i can actually do my hw

[cneilson]

Great explainations. Very personable and nice to students. Only hint: distracted by constantly correcting students, etc.

[ChavoMysterio]

I would add 4/(x+1) to both sides to make it a proportional equation, then cross multiply.

[nnp]

How would you then solve this case: 0= -10, 000, 000+0, 05*(D)/1.05. Now How do we solve for D?

[davidjerez]

isn't the 5(x+1)-4(x-3) supposed to be all divided by (x-3)(x+1)???? same thing when you add 5/3+3/4. the answer isn't 29 rather the answer is 29/12.

[irwandasaputra]

(5x+5)-(4x-12):x^2-2x-3=0
x+17=0
x=-17

[calebwhittington]

them kids better pay attention they dont teach like this college 😂

[coleleft]

Thank you so much I was searching for hours on how to do this.

[yoyogang]

This teacher make so many videos like this

[argelpamintuango]

The answer supposed to match the equation right? But I replaced the variable x with 17 and the answer did not match to 0

[TheUltimateDestroyer]

Chris makes a short appearance once again

[tormarquis]

I like the way you explain. It would still be better if you took time to write out the steps, so one could follow your written work instead of working on the same written expression .... Someone coming late to class cannot understand what you did.

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