Math, asked by prasoonsakalley50, 3 months ago

.Ifz/(z + 15) = 4/9 , then the value of 'z'​

Answers

Answered by keshavkumar64788
1

Step-by-step explanation:

(z+15)=4/9

z+15=4/9

z=9/4 -15

z=9-15/4

z= 11

Answered by SweetLily
24

{ \sf  {\underline {\large{Question}}}}

If z/(z + 15) = 4/9 , then the value of ''z

 \sf{ \underline{ \large{To \:  find}}}

  • value of z

\sf{ \underline{ \large{concept \: used}}}

Here the concept of Linear equations in One Variable is used. First we will cross multiply and then solve it further by subtracting and dividing to find the value of z.

\sf{ \underline{ \large{solution}}}

 \sf{ \implies\frac{z}{z + 15}  =  \frac{4}{9}}\\  \\ {\sf{ \underline \color{purpe}{ cross \: multiply}}} \\  \\ \sf{  \implies \:9z = 4z + 15 \times 4  } \\  \\  \sf{ \implies \: 9z - 4z = 15 \times 4} \\  \\  \sf{ \implies \:5z = 15 \times 4 } \\  \\  \sf{ \implies \:z =  \frac{15 \times 4}{5}  } \\  \\  \sf \implies{z = 12} \\

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