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Steps for Solving by the Equalization Method
Example of a System of Equations Solved by the Equalization Method

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Steps for Solving by the Equalization Method

1. We solve for the same unknown in both equations

2. We equalize the expressions, which allows us to obtain an equation with one unknown

3. We solve the equation

4. We substitute the value obtained into either of the two expressions in which the other unknown appeared solved

5. The two values obtained constitute the solution of the system

Example of a System of Equations Solved by the Equalization Method

$\text{[math]}$

1. We solve, for example, for the unknown $\text{[math]}$ from the first and second equations:

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

2. We equalize the expressions:

$\text{[math]}$

3. We solve the equation:

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

4. We substitute the value of y into either of the 2 equations (in either of the 2, the result should be the same):

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Or:

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

5. Solution:

$\text{[math]}$

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Agostina Babbo is an English and Italian to Spanish translator and writer, specializing in product localization, legal content for tech, and team sports—particularly handball and e-sports. With a degree in Public Translation from the University of Buenos Aires and a Master's in Translation and New Technologies from ISTRAD/Universidad de Madrid, she brings both linguistic expertise and technical insight to her work.

Equalization Method

Steps for Solving by the Equalization Method

Example of a System of Equations Solved by the Equalization Method

Quadratic Equations: Solved Exercises

Solved Exercises: First-Degree Equations

Factoring Exercises and Polynomial Roots

Logarithm Exercises

Solved Algebraic Fraction Exercises

First-Degree Equation Problems

10 Polynomial Exercises

Solved Exercises on Exponential Equations

Exercises on 3×3 Systems of Equations

Solved Exercises on Logarithmic Equations

Inequalities Exercises Part I

Exercises and Solved Problems with Quadratic Equations

Problems and Exercises Involving First-Degree Equations

Exercises and Solved Problems Involving Linear Equations I

Logarithms and Their Properties

Notable Products

Operations with Polynomials

What Are First-Degree Equations?

Polynomial Divisions

Definition and Properties of Logarithms

Factoring a Polynomial

Ruffini’s Rule

Method of Equalization for Systems of Equations

Algebraic Expressions

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Equalization Method

Steps for Solving by the Equalization Method

Example of a System of Equations Solved by the Equalization Method

Other Exercises

Quadratic Equations: Solved Exercises

Solved Exercises: First-Degree Equations

Factoring Exercises and Polynomial Roots

Logarithm Exercises

Solved Algebraic Fraction Exercises

First-Degree Equation Problems

10 Polynomial Exercises

Solved Exercises on Exponential Equations

Exercises on 3×3 Systems of Equations

Solved Exercises on Logarithmic Equations

Inequalities Exercises Part I

Exercises and Solved Problems with Quadratic Equations

Problems and Exercises Involving First-Degree Equations

Exercises and Solved Problems Involving Linear Equations I

Theory

Logarithms and Their Properties

Notable Products

Operations with Polynomials

What Are First-Degree Equations?

Polynomial Divisions

Definition and Properties of Logarithms

Factoring a Polynomial

Ruffini’s Rule

Method of Equalization for Systems of Equations

Algebraic Expressions

Cancel reply