Solving Linear Equations Adapted from Walch Education.

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Presentation transcript:

Solving Linear Equations Adapted from Walch Education

Solving Equations with the Variable in Both Expressions of the Equation 1.Choose which side of the equation you would like the variable to appear on. 2.Add or subtract the other variable from both sides of the equation using either the addition or subtraction property of equality. 3.Simplify both expressions. 4.Continue to solve the equation. 5.As with any equation, check that your answer is correct by substituting the value into the original equation to ensure both expressions are equal.

Key Concepts: Some equations may have no solution. The result is something impossible, like 2 = 6. The resulting equation is never true for any value of the variable. Some equations will be true for any value the variable is replaced with. This is the case when following all of the appropriate steps for solving an equation results in the same value on each side of the equal sign, such as 2x = 2x. The resulting equation is always true for any value of the variable. Other equations will only have one solution, where the final step in solving results in the variable equal to a number, such as x = 5.

Practice # 1 Solve the equation 5x + 9 = 2x – 36. Turn this in tomorrow in class. Be able to justify each step!

THANKS FOR WATCHING !!!!! ~ Dr. Dambreville