5(X-1)-2(X-8)=0 give me correct answer
Answers
Answer:
The value of x is ( - 11 / 3 ).
Step-by-step-explanation:
We have given a linear equation in variable x.
We have to find the value of x.
The given equation is 5 ( x - 1 ) - 2 ( x - 8 ) = 0.
Now,
5 ( x - 1 ) - 2 ( x - 8 ) = 0
⇒ 5 * x + 5 * ( - 1 ) - 2 * x - 2 * ( - 8 ) = 0
⇒ 5x - 5 - 2x + 16 = 0
⇒ 5x - 2x - 5 + 16 = 0
⇒ 3x + 11 = 0
⇒ 3x = - 11
⇒ x = ( - 11 / 3 )
∴ The value of x is ( - 11 / 3 ).
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Verification:
The given equation is 5 ( x - 1 ) - 2 ( x - 8 ) = 0.
By substituting x = ( - 11 / 3 ) in the LHS of the given equation, we get,
5 ( x - 1 ) - 2 ( x - 8 ) = 0
⇒ LHS = 5 ( x - 1 ) - 2 ( x - 8 )
⇒ LHS = 5 [ ( - 11 / 3 ) - 1 ] - 2 [ ( - 11 / 3 ) - 8 ]
⇒ LHS = 5 [ ( - 11 - 3 ) / 3 ] - 2 [ ( - 11 - 24 ) / 3 ]
⇒ LHS = 5 ( - 14 / 3 ) - 2 ( - 35 / 3 )
⇒ LHS = ( - 70 / 3 ) - ( - 70 / 3 )
⇒ LHS = ( - 70 + 70 ) / 3
⇒ LHS = 0 / 3
⇒ LHS = 0
RHS = 0
∴ LHS = RHS