Solving a multi step Equation By: Adam Stallcup
Important Things to Remember <ul><li>You must follow order of operations. </li></ul><ul><li>To Simplify and Solve work in reverse order of each other. </li></ul><ul><li>Think: you want to “UNDO” what was done to the variable </li></ul><ul><li>You must do the same thing to each side of the equation. </li></ul>
Solving With Order of Operations <ul><li>First you must undo addition and subtraction together </li></ul><ul><li>Second you must undo multiplication and division together. </li></ul><ul><li>Remember, do the same thing to both sides of the equation </li></ul>
Solving A Multi-step Equation 2X + 6 = .5X + 9 -6 -6 Subtract 6 from both sides 2X = .5X + 3 -0.5X -.5X Subtract .5X from each side to combine like terms 1.5X = 3 /1.5 /1.5 Divide both sides by 1.5 to isolate the variable and solve the equation X = 2 Now you are done. Is is always a good idea to plug your value back in to the original equation to check your answer
Plug it in and Check 2X + 6 = .5X + 9 2x 2 + 6 = .5x 2 + 9 Plug in x = 2 for the variable 4 + 6 = 1 + 9 Multiply first 10 = 10 Add Second. Since you get the same thing on both sides, your answer is correct!
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