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How to Solve a Linear Equation with Two Unknowns on Both Sides A linear equation with two unknowns (usually written as *x* and **y**) has variables on both sides of the equals sign. The goal is to rearrange the equation so that one variable is expressed in terms of the other. *Step 1: Write down the equation clearly.* Make sure both sides of the equation are simplified as much as possible. *Step 2: Bring like terms together.* Move all terms containing one variable (for example, **x**) to one side of the equation and all terms containing the other variable (for example, **y**) to the opposite side. You can do this by adding or subtracting the same term on both sides of the equation. *Step 3: Combine like terms.* Add or subtract coefficients of the same variable on each side until each side has only one type of variable. *Step 4: Isolate one variable.* Once the equation has one variable on each side, rearrange it to solve for one variable in terms of the other. This usually involves dividing both sides by the coefficient of the variable you are solving for. *Step 5: Check your result.* Substitute your expression back into the original equation to make sure both sides are equal. By following these steps, you can rewrite a linear equation with two unknowns into a simpler form that shows the relationship between the variables.