How to Solve a System of Equations Using Elimination with Fractions

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be equal in all the equations that make up the system, in order to eliminate the variable using subtraction (or addition as the case may be). The coefficients can be made equal by multiplying the entire equation with a number which when multiplied to the coefficient of the variable to be eliminated gives the LCM of the coefficients of the variable to be eliminated in all the equations. Then we solve for the remaining variable(s).

After we have obtained the solution{s} for the remaining variable(s), we substitute the obtained solution into any of the original equations to obtain the solution of the eliminated variable.

Organized Videos:
✅Solve a System of Equations Algebraically
✅Solve a System of Equations Using Substitution | Easy
✅Solve a System of Equations Using Substitution | Hard
✅Solve a System of Equations Using Substitution | Learn About
✅Solve a System of Equations Using Elimination | Learn About
✅Solve a System of Equations Using Elimination | Easy
✅Solve a System of Equations Using Elimination | Medium
✅Solve a System of Equations Using Elimination | Hard
✅Solve a System of Equations Word Problem
✅Solve a System of Equations With Three Variables

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Thanks so much! You're a lifesaver. I'm just reviewing algebra for geometry class, and I was always uncomfortable and confused with fractions.

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[mustafa_]

I knew this method but i didnt know how to deal with fractional forms. Simple and clear explanation

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[benwatson]

I finally understand it a lot better, thanks . Hope everyone is well.

[mohaleexelent]

Good one. Another way of doing it is to multiple the first equation by 2 since the aim of this method is to create at least two same terms(variables) that can cancel each other when added/"substrated

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