What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.x + 14) – 3?
Answers
Answer:
Its B -24
Step-by-step explanation:
Given : (2/3)( x/2 + 12) = ( 1/2)(x/3 + 14 ) - 3
To Find : Value of x in the Equation
S0lution:
(2/3)( x/2 + 12) = ( 1/2)(x/3 + 14 ) - 3
=> (2/3)(1/2)(x + 24) = (1/2)(1/3)(x + 42)- 3
=> (1/3)(x + 24) = (1/6)(x + 42) - 3
Multiply both sides by 6
=> 2(x + 24) = (x + 42) - 18
=> 2x + 48 = x + 42 - 18
=> x + 48 = 24
=> x = 24 - 48
=> x = - 24
Verification
(2/3)( x/2 + 12) = ( 1/2)(x/3 + 14 ) - 3
LHS = (2/3)( x/2 + 12) = (2/3)(-24/2 + 12) = (2/3)(-12 + 12)
= (2/3)0
=0
RHS = ( 1/2)(x/3 + 14 ) - 3 = ( 1/2)(-24/3 + 14 ) - 3 = (1/2)(-8 + 14) - 3
= (1/2)(6) - 3
= 3 - 3
= 0
LHS = RHS = 0
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