Question

Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket.

150x + 80y + 12z = 2,466
380x + 95y + 48z = 5,419
210x + 130y + 60z = 3,960

220x + 225y = 4,445
540x + 270y = 8,370 → y = −2x + 31

x = 11

Finish solving the system using. What are y and z?

y =
z =

Answer 1

Once you have x, you can plug it into the equation given in the problem
\[y=-2x+31\]
To find what y is. Then you will plug both x and y into any of the original equations and solve for z.

Answer 2

Plug in the value of x into any two of the original 3 equations.
That will give you a new system of two equations in two unknowns, y and z.
Then solve the system of equation for y and z.

Answer 3

To verify your solution, visit
http://www.wolframalpha.com/input/?i=solve+150+x+%2B+80+y+%2B+12+z+%3D+++2466+and+380+x+%2B+95+y+%2B+48+z+%3D+5419+and+210+x+%2B+130+y+%2B+60+z+%3D+3960