Question

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.​

Answer 1

Question:

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Answer:

`\large \rightarrow \bf {The \: answer \:is \: {\green{z = (3)/(2) \: xy}}}`

Answer 2

Problem:-

2.) z varies jointly as x and y. If z = 26 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solution:-

`\sf{z = kxy}`

`\sf\rightarrow{16=k(4)(6)}`

`\sf\rightarrow{K= (16)/(24) }`

`\sf\rightarrow{K={\color{magenta}{ (2)/(3) }}}`

Answer:-

The equation of variation is,

`\: \: \: \: \: \: \: \: \: \: \: \: \: \color{red}\sf{z = (2)/(3) \: xy.}`

`{\large{——————————————————}}`

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