How do you solve $3 \frac{x}{4} + 5 \frac{x}{2} = 13$ $3x /4 + 5x/2= 13$ ?

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Answer 1 · 2018-04-26T18:30:13

$x = 4$ $x=4$

convert the mixed fractions

$\frac{3 x}{4} + \frac{5 x}{2} = 13$ $(3x)/4 + (5x)/2 = 13$

eliminate the denominators by multiplying everything by 4

$3 x + 10 x = 52$ $3x + 10x = 52$

collect like terms

$13 x = 52$ $13x = 52$

solve for $x$ $x$

$x = 4$ $x = 4$

sub in to prove

$\frac{(3) (4)}{4} + \frac{(5) (2)}{2} = 13$ $((3)(4))/4 + ((5)(2))/2 = 13$

$3 + 10 = 13$ $3 + 10 = 13$

How do you solve 3x4+5x2=133x /4 + 5x/2= 13?