To solve a system of equations, you should use the substitution method or the elimination method. The substitution method should be used if one of the equations has a variable that can be easily solved for. The elimination method should be used if the equations have a variable term with the same or opposite coefficients or if neither equation can be easily solved for a variable.
The first equation can be easily solved for
To use the elimination method, subtract the two equations to eliminate the
Now that you the value of y, substitute it into either equation and then solve for x:
The solution of the system is then
The cost in dollars to produce x youth baseball caps is
(a) Write and simplify a function P that gives profit in terms of x.
(b) Find the profit if 50 caps are produced and sold.