1) Examining this rational equation. And then solving it.
3/4(x-1) -1/2 =2(1-3x)
3/4x-3/4-1/2=2-6x
2)Combining like terms, let's isolate the x terms on the left side
3/4x+6x -3/4-1/2=2-6x+6x
3)To add these fractions let's calculate the Least Common Multiple of the denominators:
27/4x -5/4=2+0
27/4x -5/4+5/4=2+5/4
27/4x=13/4 Multiplying both sides by four to eliminate the fraction.
27x=13 Dividing both sides by 13 to get the value of x
x =13/27
S={13/27}
2) For those 2 equations there was a single solution for x. We can say that there is one solution to these equations.