Respuesta :
The solution of the equation (x=) is the value of the variable of the equation. The solution of the equation is
[tex]x=1[/tex]
How to find solution of equation?
To find the solution of the equation-
- Simplify the equation first
- Separate the same variable terms one side
- Find the simplest value of variable using the mathematical operations.
Given information-
The equation given in the problem is,
[tex]\dfrac{2}{7}=\dfrac{6x}{4x+17}[/tex]
To solve the above equation, cross multiply the equation as,
[tex]2\times(4x+17)=(6x)\times7[/tex]
Simplify it further as,
[tex]8x+34=42x[/tex]
Separate the same variable terms one side as,
[tex]42x-8x&=34\\34x=34[/tex]
Divide by 34 both sides. Thus,
[tex]x=1[/tex]
Hence the solution of the equation is,
[tex]x=1[/tex]
Learn more about the solution of equation here;
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