Select the value of x that is the solution for the equation 6/x=7/x+3
If you mean
6/x = 7/x + 3 then x = -1/3
If you mean
6/x = 7/(x+3) then x = 18
To find the value of x that is the solution for the equation 6/x = 7/(x+3), we can follow these steps:
1. Start by cross-multiplying the equation. Multiply both sides of the equation by the denominators on the other side:
(6/x)*(x+3) = (7/x)*x
Simplifying this, we have:
6(x+3) = 7
2. Expand the equation by distributing:
6x + 18 = 7
3. Subtract 18 from both sides of the equation to isolate the term with x:
6x = 7 - 18
6x = -11
4. Divide both sides of the equation by 6 to solve for x:
x = (-11) / 6
Hence, the value of x that is the solution for the equation 6/x = 7/(x+3) is x = -11/6.