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how do you graph the system of equation?

Algebra
Tutor: None Selected Time limit: 1 Day

Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters there are and how many dimes there are.

Apr 13th, 2015

Let x = the number of quarters

Let y = the number of dimes

So, the system of equations would be

x + y = 60

25x + 10y = 945  because there are 945 cents in $9.45

Those are the two linear equations that you graph

Where they intersect is the solution.

Let me know if you need further explanation.

Apr 12th, 2015

how do you solve it


Apr 12th, 2015

There are two ways.  Algebraically and graphically.  Which way do you want?

Apr 12th, 2015

graphically

Apr 12th, 2015

Draw the line x + y = 60

then draw the line 25x + 10y = 945

Where those two line intersect will be at a point

the (x,y) coordinates of that point will be the solution

x = the number quarters

y = the number of dimes

Apr 12th, 2015

Thank you

Apr 12th, 2015

You're very welcome

Apr 12th, 2015

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