Solve the equation and also check your results:3/4x + 4x = 7/8 + 6x �

1.	Solve the equation and also check your results:3/4x + 4x = 7/8 + 6x – 6
Answer» 3/4x + 4x = 7/8 + 6x – 6 Let us rearrange the equation 3/4x + 4x – 6x = 7/8 – 6 By taking 4 and 8 as LCM (3x + 16x – 24x)/4 = (7 – 48)/8 -5x/4 = -41/8 By cross-multiplying -5x(8) = -41(4) -40x = -164 x = -164/-40 = 82/20 = 41/10 Let us verify the given equation now, 3/4x + 4x = 7/8 + 6x – 6 By substituting the value of ‘x’ we get, (3/4)(41/10) + 4(41/10) = 7/8 + 6(41/10) – 6 123/40 + 164/10 = 7/8 + 246/10 – 6 (123 + 656)/40 = (70 + 1968 – 480)/80 779/40 = 1558/80 779/40 = 779/40 Hence, the given equation is verified.

Solve the equation and also check your results:3/4x + 4x = 7/8 + 6x – 6

Answer»

3/4x + 4x = 7/8 + 6x – 6

Let us rearrange the equation

3/4x + 4x – 6x = 7/8 – 6

By taking 4 and 8 as LCM

(3x + 16x – 24x)/4 = (7 – 48)/8

-5x/4 = -41/8

By cross-multiplying

-5x(8) = -41(4)

-40x = -164

x = -164/-40

= 82/20

= 41/10

Let us verify the given equation now,

3/4x + 4x = 7/8 + 6x – 6

By substituting the value of ‘x’ we get,

(3/4)(41/10) + 4(41/10) = 7/8 + 6(41/10) – 6

123/40 + 164/10 = 7/8 + 246/10 – 6

(123 + 656)/40 = (70 + 1968 – 480)/80

779/40 = 1558/80

779/40 = 779/40

Hence, the given equation is verified.