The cost for one steak burger and cost of one order of fries is $10.75 and $2.5 respectively
let
cost of one steak burger = x
cost of one order fries = y
The equation:
4x + 2y = 38 (1)
2x + 3y = 14 (2)
Multiply (1) by 3 and (2) by 2
12x + 6y = 114 (3)
4x + 6y = 28 (4)
subtract (4) from (3) to eliminate y
12x - 4x = 114 - 28
8x = 86
divide both sides by 8
x = 86/8
x = 10.75
substitute x = 10.75 into (2)
2x + 3y = 14 (2)
2(10.75) + 3y = 14
21.5 + 3y = 14
3y = 14 - 21.5
3y = 7.5
y = 7.5/3
y = 2.5
Therefore, the cost for one steak burger and cost of one order of fries is $10.75 and $2.5 respectively
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