A breakfast menu lists 2 eggs with one sausage patty for $ 2.23 and 3 eggs with two sausages patties for $3.76. how much would you expect to pay for 5 eggs and 7 sausage patties?
1. Find specific definitions for the variables
2. create and solve a system of equations
1. Find specific definitions for the variables
2. create and solve a system of equations
-
x => eggs
y =>sausage patty
2x +y =2.23 => -3(2x+y=2.23)
3x+2y = 3.76 => 2(3x+2y=3.76)
( -6x-y = -6.69) +(6x+2y=7.52 ) --->you get rid of the 6x
y= .83
using 2x+y=2.23 ---you substitute y with .83
2x +.83=2.23
2x=1.40
x=.70
to check: use 3x+2y=3.76
3(.70)+2(.83)=3.76
2.10+1.66+3.76
3.76=3.76
y =>sausage patty
2x +y =2.23 => -3(2x+y=2.23)
3x+2y = 3.76 => 2(3x+2y=3.76)
( -6x-y = -6.69) +(6x+2y=7.52 ) --->you get rid of the 6x
y= .83
using 2x+y=2.23 ---you substitute y with .83
2x +.83=2.23
2x=1.40
x=.70
to check: use 3x+2y=3.76
3(.70)+2(.83)=3.76
2.10+1.66+3.76
3.76=3.76