Question

how to solve x/3+y/4=4​

Answer 1

Hey mate, here is your answer :-

(x, y) = (9, 4)

Step-by-step explanation:

$\frac{x}{3} + \frac{y}{4} = 4 \: \: \: ..(1) \\ 3x - y = 23 \: \: \: ...(2)\\ \\ \frac{4x + 3y}{3 \times 4} = 4 \\ \frac{4x + 3y}{12} = 4 \\ 4x + 3y = 4 \times 12 \\ 4x + 3y = 48 \: \: \: \: .......(3) \\ 3x - y = 23 \: \: \: \: \: .......(2) \\ 4x + 3y = 48 \\ 9x - 3y = 69 \: \: \: .....(multiplying \: by \: 3 \: to \: both \: sides \: ) \\ \\ 13x = 117 \: \: ....(adding \: equations \: (2) \: and \: (3) \\ x = \frac{117}{13} \\ x = 9 \\ \\ by \: substituting \: x = 9 \: in \: equation \: 2 \: we \: get \: \\ 3x - y = 23 \\ 3 \times 9 - y = 23 \\ 27 - y = 23 \\ - y = 23 - 27 \\ - y = - 4 \\ \\ y = 4 \\ \\ \\ \\ so \: \\ (x \: y) = (9 \: \: 4)$

Hope it helps you.

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