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MATHEMATICS

JAMB 2015 - Question 50

Mathematics 2015 JAMB Past Questions - Question 50: If 4x+3/162x-3=1 ,Find x

If 4x+3/162x-3=1 ,Find x

A: 1

B: -1

C: -3

D: 3

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Correct Answer

Explanation

4x+3/162x-3=14x+3=44x-6x+3=4x-6x-4x=-6-3-3x=-9x=3To solve the equation \(\frac{4x+3}{162x-3} = 1\), we can first cross-multiply to get rid of the fraction.So, we have:\[4x + 3 = 162x - 3\]Next, we can isolate the variable x by moving all the terms containing x to one side of the equation and the constant terms to the other side.\[4x - 162x = -3 - 3\]\[-158x = -6\]Finally, we solve for x by dividing both sides by -158:\[x = \frac{-6}{-158} = \frac{3}{79}\]So, the value of x is \(\frac{3}{79}\).