Question

Solve the following equation and verify your answer: a) 3/4x + 4x = 7/8+6x - 6​

Answer 1

Step-by-step explanation:

(3/4)x+4x=(7/8)+6x-6

[(3/4)+4-6)x=(7/8)-6

[(19/4)-6]x=(7-48)/8

[(19-24)/4]x= -41/8

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

x=(41/8)*(4/5)

x=41/10

Answer 2

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.

Step-by-step explanation:

hopes it helps you

please mark me as brainlist☺