Question

solve 6z+7/z+6=-7/20​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

The equation -

$\bf \dfrac{6z+7}{z+6} = \dfrac{-7}{20}$

What To Find:

We have to

• Solve and find the value of z.

Solution:

$\sf \longmapsto \: \dfrac{6z+7}{z+6} = \dfrac{-7}{20}$

Use cross multiplication,

$\sf \longmapsto \: 20(6z+7) = -7(z+6)$

Remove the brackets,

$\sf \longmapsto \: 120z+140 = -7z-42$

Take 42 to LHS from RHS,

$\sf \longmapsto \: 120z+140+42 = -7z$

Take 120z to RHS from LHS,

$\sf \longmapsto \: 140+42 = -7z - 120z$

Solve the LHS,

$\sf \longmapsto \: 182 = -7z - 120z$

Solve the RHS,

$\sf \longmapsto \: 182 = -127z$

Take 127 to LHS,

$\sf \longmapsto \: -\dfrac{182}{127} = z$

Divide 182 by 127,

$\sf \longmapsto \: -\dfrac{182}{127} = z \: ... (Can't \: Divide)$

Final Answer:

∴ Thus, the value of z is -182/127.