Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Learn how to solve equations when variables are on both sides of the equal sides
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18 Video Interactions

00:00:19
The goal is to...
 combine 4  2x to become 2x
 get the variables on one side of the equation and the constants on the other side of the equation

00:00:44
True or false.
For this problem it is easier to subtract 5x from both sides as the first step.
 True.
 False.

00:00:54
What's the next step?
 divide by 7
 add 17 to both sides.

00:01:14
What inverse operation needs to be performed when given 21 = 7x?
 division.
 multiplication

00:01:54
You may not know, but 1/8(24y  48) can be efficiently simplified to 3y – 6 if you...
 recognize that when 1/8 is distributed out, both 24 and 48 will be divided by 8.

00:02:05
Will the narrator choose to move y to the left or to the right side of the equation?
 Left side of the equation
 Right side of the equation.

00:02:40
After substituting 6 for y, the narrator will follow the order of operations by simplifying the parentheses.
The narrator is choosing not to apply the distributive propertywhich is acceptable.
Why?
 There is less chance of error when applying the fraction to one number.

00:04:39
What are we trying to do here?
 Solve the equation
 Isolate the variable to get c by itself

00:04:52
What's the first step?
 move c to the left or right side of the equation.
 apply the distributive property.

00:05:19
What should we do next?
 Subtract 2c from both sides.
 Subtract 5c from both sides.
 Add 16 to both sides.

00:05:38
Now what?
 Subtract 17 from both sides.
 Add 16 to both sides.

00:05:48
What inverse operation is next?
 Multiply 3 on both sides.
 Divide 3 on both sides.

00:06:20
After 11 has been substituted, will the narrator simplify the parentheses or distribute 2 across 11 and 8?
 He will simplify the parentheses.
 He will distribute 2 across 11 and 8

00:06:49
How do we simplify the right side of the equation?
 Apply the distributive property on the right side of the equation.
 Add 16w to both sides.

00:06:57
Now what?
 Combine like terms on the right side of the equation
 Subtract 32 from both sides.
 Add 16w to both sides.

00:07:18
Does this problem have no solution, one solution, or many solutions?
 No solution
 One solution
 Many solutions.

00:08:36
What is the solution to this problem?
 9 = n
 19 = n

00:09:07
What is the solution to this problem?
 18 = 24 No solution.
 18 = 18 Many solutions.
 24 = 24 Many solutions.
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