Question

4/6 X + 10/4 =-6/8x-10

Answer 1

Given :

`\: {\qquad \sf (4)/(6) x + (10)/(4) = - (6)/(8)x - 10 }`

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To Find :

• The value of x.

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Solution :

`{\qquad \sf \dashrightarrow \: (4)/(6) x + (10)/(4) = - (6)/(8)x - 10 }`

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Subtracting
`\sf \: (10)/(4)` from both sides :

`{\qquad \sf \dashrightarrow \: (4)/(6) x \: \: \cancel{+ (10)/(4)} \: \: \cancel{- (10)/(4)} = - (6)/(8)x - 10 - (10)/(4) }`

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Adding
`\sf (6)/(8) x` to both sides :

`{\qquad \sf \dashrightarrow \: (4)/(6) x + (6)/(8)x = \cancel{- (6)/(8)x } \: \: \cancel {+ \: (6)/(8)x} - 10 - (10)/(4) }`

`{\qquad \sf \dashrightarrow (4)/(6) x + (6)/(8)x = - 10 - (10)/(4)}`

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Adding the like terms :

`{\qquad \sf \dashrightarrow (32x + 36x)/(24) = ( - 40 - 10)/(4) }`

`{\qquad \sf \dashrightarrow (68x)/(24) = ( - 50)/(4) }`

`{\qquad \sf \dashrightarrow (34x)/(12) = ( - 25)/(2) }`

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By doing cross multiplication we get :

`{\qquad \sf \dashrightarrow {68x} = - 300 }`

`{\qquad \sf \dashrightarrow {x} = ( - 300)/(68) }`

`{\qquad \bf \dashrightarrow {x} = ( - 75)/(17) }`