Cost of one cherry pie and lemon meringue pie are 9 and 20 repectively.
A system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought the common solutions. A system of equations can be classified in a similar manner as single equations. System of equations finds applications in our day-to-day lives in modeling problems where the unknown values can be represented in form of variables.
Cost of one cherry pie = C
Cost of one lemon meringue pie = L
13C + 10L = $359
5C + 5L = $160
Multiply the second equation by 2 :
13C + 10L = $359
10C + 10L = $320
subtracting the second equation from the first:
3C = 39
We now know C = 13. Plug this into either original equation. (I chose the second one.):
5C + 5L = $160
5(13) + 5L = $160
L = $19
Cost of one cherry pie and one lemon meringue pie 13 and 19.
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