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

Question

asked Mar 24, 2023 48.4k views

1 Answer

Jiehanzheng · Answer 1 · 2023-03-30T03:38:13+0000

Given :

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

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To Find :

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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 :

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

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

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