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This video explains how to solve systems of linear equations with two variables using the method of equalization. It involves four steps, beginning with isolating one variable in each equation, then equalizing the expressions by setting them equal to each other, solving for the variable, and substituting the value into one of the original equations to solve for the other variable. Tips are provided, such as multiplying by -1 to obtain a positive coefficient for a variable if necessary. The video demonstrates an example problem and recommends verifying the solution by substituting it back into the original equations.

**00:00:00**In this section, the speaker explains the method of equalization for solving a system of linear equations with two variables by giving the example of two equations with one variable. The method involves four steps, the first being to isolate a variable in both equations, followed by equalizing the two expressions and solving the resulting equation, and finally substituting the solution back into one of the original equations to find the value of the other variable. The example provided involves isolating x and then equalizing the expressions to solve for x.**00:05:00**In this section, the YouTuber teaches the method of equalization to solve systems of linear equations with two variables. The first step is to isolate one of the variables in one equation, and the second step is to set the two variables equal to each other by equating the first equation with the second equation. Then, algebraic manipulation is used to obtain values for the variables. The final step is to plug in the value of one of the variables into one of the equations to solve for the other variable. The YouTuber also shares tips such as multiplying the entire equation by -1 to get a positive coefficient for the variable if it has a negative value.**00:10:00**In this section, the video demonstrates how to solve a system of linear equations using the method of equalization. The steps involved include multiplying one equation, rearranging its variables and combining like terms to eliminate a variable, and then substituting the resulting value into the other equation to solve for the remaining variable. The video provides an example problem and recommends verifying the solution by substituting it back into the original equations. The video also advises that it's easier to solve for a variable with two positive coefficients and gives an additional practice problem.

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