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Solving Equations
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with Variables
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on Both Sides
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Variables on Both Sides
Solving Equations with Variables on Both Sides
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If you had this equation,
how would you move the 7
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to the other side of the equation?
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You would subtract it . . . . . . wouldn’t you?
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This equation is probably
different from other equations you have solved.
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What makes it different? It is different because it has an x
on each side.
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How would you move the x from the right side to the left?
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You would move the x exactly the same way you would move the 7.
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You would subtract it . . . . . . wouldn’t you?
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Now when you simplify. . .
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Now when you simplify. . .
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. . . the equation becomes the type of equation
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. . . the equation becomes the type of equation
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that you already know how to solve.
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that you already know how to solve.
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that you already know how to solve.
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If you want to solve equations correctly
(Don’t you?) (and you do) you will get in the habit of checking solutions.
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Checking the solution:
Good solution!
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Try this one:
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Good solution! Check your work !
Try this one: Good solution! Check your work !
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You say you want one more? Okay—here’s one more.
If you did, you know the solution is Did you check you answer?
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