What is the solution set of the equation $x + \frac{7}{2} = \frac{5 x}{3}$ $x +7/ 2= (5x)/3$ ?

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Answer 1 · 2018-05-05T03:47:13

$x = 5 \frac{1}{4}$ $x= 5 1/4$

To solve $x + \frac{7}{2} = \frac{5 x}{3}$ $x+7/2 = (5x)/3$

Begin by multiplying all of the terms by the common denominator which is $6$ $6$

$(6) x + (6) \frac{7}{2} = (6) \frac{5 x}{3}$ $(6)x+(6)7/2 = (6)(5x)/3$

$6 x + 21 = 10 x$ $6x + 21 = 10x$

Now us the additive inverse to combine the variable values

$cancel(6x) + 21 cancel(-6x) = 10x-6x$

$21 = 4x$

$21/4 = (cancel4x)/cancel4$

$21/4 = x$

$x= 5 1/4$

What is the solution set of the equation x +7/ 2= (5x)/3x+72=5x3x +7/ 2= (5x)/3?