Solving equations variable both sides
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Transcript of Solving equations variable both sides
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Solving Equations with Variables on Both SidesSolving Equations with Variables on Both Sides
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Steps to Solve Equations with Variables on Both Sides
(1) Take care of any parenthesis by distributing.
(2) Combine all like terms on each side of the equal sign.
★ Same Side, Same Operation
(3) Get variables to one side of =. Moving the smallest will avoid dividing by a negative.
★ Opposite Side, Opposite Operation
(4) Isolate term with variable.
★ Opposite Side, Opposite Operation
• Multiply or Divide to get coefficient of variable to 1.
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Solve:✦ Variables together
Opposite side = Opposite operation
✦ Moving the smallest avoids dividing by a negative.
✦ Isolate variable term.
✦ Divide by variables coefficient to make coefficient of variable 1.
2a 3 5a 8
3 3a 8
2a 2a
8 8
5 3a 3 3 5
3a
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Solve:✦ Distribute.
✦ Variables together, moving smallest. Opposite side = Opposite operation
✦ Isolate variable term.
✦ Divide to make coefficient of variable 1.
3 x 2 7 x 5
4x 6 35
7x 7x
6 64x 41 4 4
x 41
4
3x 6 7x 35
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Solve:✦ Distribute.
✦ Combine like terms on left side.
✦ Variables together, moving smallest. Opposite side = Opposite operation
✦ Isolate variable term.
✦ Divide to make coefficient of variable 1.
9 2x 3 5 x 3
19x 22 31x 1x
22 22
19x 19 19 19
x 1
18x 27 5 x 318x 22 x 3