SOLUTION: What do you do when an equation does not balance?

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Question 445436: What do you do when an equation does not balance?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The equation will be in balance if and only if the left side is equal to right side; so, finding the lowest whole number ratio of coefficients that will balance the equation. One way to find this ratio is to set one of the unknown coefficients equal to 1 and solve for the remaining coefficient will help you to balance it.

Remember, the idea is to "balance" the equation, so what you do to one side, you must do to the other.

Equations involving unknown variables are solved by balancing the left member and the right member.
For example, in the equation y+%2B+5+=+12, I know that the left member must equal 12 for it to balance with the right member. This means y would be 7 because 7+%2B+5+=+12.
That one is easy enough to do the math without a formal procedure. But because algebraic equations can become much longer and more calculated, a system is necessaryto solve for variable and balance equations.