2. Solving Systems Using Substitution
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Create and solve a system of equations.
12 small prints and 6 large prints.
We can use the given information to create a system of equations. Then, solving the system for the variables will tell us how many small and large prints the artist will need to sell in order to break even. Let x represent the number of small prints sold and y represent the number of large prints sold.
It is also given that the artist wishes to sell twice as many small prints. This gives us the second equation. x= 2y Now, let's write the complete system of equations. 20x+45y=510 & (I) x=2y & (II)
(I): x= 2y
(I): Multiply
(I): Add terms
(I): .LHS /85.=.RHS /85.