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Example Questions
Example Question #41 : Systems Of Equations
What is the solution to the system of linear equations defined by:
Give your answer as an ordered pair.
There are many methods to finding the solution of a system of linear equations: graphing, elimination, substitution, matrix manipulations; we'll use subsitution.
Since both equations are equal to , we can use substitution to set them equal to each other and solve for x:
Now we plug the value we just found for into either equation (it doesn't matter, check both if you're unsure)
Thus we get the ordered pair:
Example Question #251 : Equations / Inequalities
Sales for a business were more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were
, what were sales, in millions of dollars, for the first year?
The easiest way to solve this equation is to work backwards. Start with the for the third year and divide by
to get the second year's earning which were
, then subtract
to get the first year which was
.
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