Does 5x-3y=-7 10x-6y=-14 have one solution or one solution or infinity solutions
1 answer:
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Answer:
The number of people who ordered steak dinner is 5
The number of people who ordered chicken dinner is 2
Step-by-step explanation:
Given as :
The total number of people went for the dinner = 7
The total bill price for the dinner = $ 109
The price for the chicken dinner = $ 12
The price for the steak dinner = $ 17
Let The number of people who ordered chicken dinner = c
And The number of people who ordered steak dinner = s
Now, According to question
The total number of people went for the dinner = The number of people who ordered chicken dinner + The number of people who ordered steak dinner
Or, c + s = 7
And The total bill price for the dinner = The price for the chicken dinner × The number of people who ordered chicken dinner + The price for the steak dinner × The number of people who ordered steak dinner
Or, $ 12 × c + $ 17 × s = $ 109
Now, solving the equations
$ 12 × ( c + s ) = $ 12 × 7
Or, $ 12 × c + $ 12 × s = $ 84
Or, ( $ 12 × c + $ 17 × s ) - ( $ 12 × c + $ 12 × s ) = $ 109 - $ 84
Or , ( $ 12 × c - $ 12 × c ) + ( $ 17 × s - $ 12 × s ) = $ 25
Or, ( 0 ) + ( $ 5 s ) = $ 25
∴ s =
I.e s = 5
So, The number of people who ordered steak dinner = s = 5
Put the value og s in Eq A
∵, c + s = 7
or, c = 7 - s
Or, c = 7 - 5
I.e c = 2
So , The number of people who ordered chicken dinner = c = 2
Hence The number of people who ordered steak dinner is 5
And The number of people who ordered chicken dinner is 2 Answer