Question

please solve and verify this....​

Answer 1

hope it helps you

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Answer 2

Answer :

$\dfrac{4x-1}{5x+2}=1\\\\\implies 4x-1=5x+2\\\\\implies 4x-5x=2+1\\\\\implies -x=3\\\\\implies x=-3$

Explanation :

We are given an equation and we are required to find the unknown value of x .

We begin by multiplying both sides . The first step involves cross multiplication or the multiplication of both sides by the denominator of one side and the numerator of the other .

Then we will transpose and group like terms in order to find the value of x .

Always keep the unknown value on the left hand side .

Also keep the numerical value on the right hand side .

Verification

Verification is done by putting the value of x which was found by us .

We found out that x = - 3 .

Hence we will verify whether Right hand side value equals the Left Hand side value or not by putting x = - 3 in the equation .

$\dfrac{4x-1}{5x+2}=1\\\\\implies \dfrac{4(-3)-1}{5(-3)+2}=1\\\\\implies \dfrac{-12-1}{-15+2}=1\\\\\implies \dfrac{-13}{-13}=1\\\\\implies 1=1$

Hence the equation is verified .

x = - 3 .