Question

1/8-10(3/4-3/8x)+5/8x equal to -1/8(59-35x)

Answer 1

It has Infinite Number Solutions.

Explanation:

Given:

`(1)/(8)-10((3)/(4)-(3)/(8)x)+(5)/(8)x=-(1)/(8)(59-35x)`

Solving the equation we get,

`(1)/(8)-10((3)/(4)-(3)/(8)x)+(5)/(8)x=-(1)/(8)(59-35x)`

Multiplying Both sides by 8 we get,

`8*[(1)/(8)-10((3)/(4)-(3)/(8)x)+(5)/(8)x]=8*-(1)/(8)(59-35x)\\\\(8)/(8)-80((3)/(4)-(3)/(8)x)+(5*8)/(8)x=-(8)/(8)(59-35x)\\\\`

Now solving the above equation we get,

`1-((80*3)/(4)-(80*3)/(8)x)+5x=-(59-35x)\\\\1-((240)/(4)-(240)/(8)x)+5x=-59-35x\\\\1-60+30x+5x= -59+35x\\-59+35x=-59+35x\\-59=-59`

Hence it has infinite number of Solutions.