Question

Help solve for x 3x/4-7/2=21/8

Answer 1

Answer:

$x = \frac{49}{6}$

Step-by-step explanation:

given

$\frac{3x}{4} - \frac{7}{2} = \frac{21}{8}$

find the L.C.M

L.C.M for 2,4 and 8=8

multiply through by the L.C.M

thus

$8 \times \frac{3x}{4} - 8 \times \frac{7}{2} = 8 \times \frac{21}{8}$

then cancel out the ones which are divisible to get

$2(3x) - 4(7) = 21$

$6x - 28 = 21$

making x the subject

$6x = 21 + 28$

$6x = 49$

dividing through by 6 to get x

$\frac{6x}{6} = \frac{49}{6}$

$x = \frac{49}{6}$