# Lesson 18 Homework 5.5

Completing homework 5.5 from lesson 18 is an important step in mastering basic algebraic concepts. This homework assignment focuses on solving equations with two variables. To help students understand the problem and come up with the correct solution, there are several key steps that need to be taken.

## Step 1: Identify the Unknown The first step in solving any equation with two variables is to identify which variable is the unknown. This can be done by examining the equation and determining which variable is the one that needs to be solved for. Once the unknown variable has been identified, it is time to move on to the next step.

## Step 2: Isolate the Unknown The second step in solving the equation is to isolate the unknown variable. To do this, students must first use the distributive property to eliminate any terms that are multiplied by the unknown variable. After that, the equation can be simplified and the unknown variable can be isolated on one side of the equation.

## Step 3: Solve the Equation Once the unknown variable has been isolated, the equation can be solved by using basic algebra. This involves multiplying both sides of the equation by the same number to cancel out any fractions that may have been created while isolating the unknown variable. After the fractions have been eliminated, the equation can be solved by simply dividing both sides by the coefficient of the unknown variable.

## Step 4: Check the Solution The final step in solving the equation is to check the solution. This can be done by substituting the solution back into the original equation and verifying that both sides of the equation are equal. If the solution is correct, then the equation has been successfully solved.

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Solving equations with two variables is a fundamental algebraic skill that is essential for success in higher-level mathematics. By following the four steps outlined in this article, students can easily solve equations with two variables and master the necessary algebraic concepts.