17-01-2015
Mathematics

Answered

4 spoons and 3 forks cost 15 dollars .4 spoons and 1 fork cost 13 dollars. find the cost of five

Answer :

17-01-2015

[tex]4x +3y = 15 \\ 4x + y = 13[/tex]

[tex]4x + y = 13 \\ y = -4x + 13[/tex]

[tex]4x + 3(-4x+13) = 15 \\ 4x -12x +39 = 15 \\ -8x = -24 \\ x = 3[/tex]

[tex]4x + 3y = 15 \\ 4(3) + 3y = 15 \\ 12 + 3y = 15 \\ 3y = 3 \\ y=1[/tex]

[tex]4x + 5y \\ 4(3) + 5(1) \\ 17[/tex]

$17

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