Answer:
x=60
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
The equation given is:
[tex]\frac{1}{6}x=10[/tex]
1/6 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 1/6
[tex]\frac{1}{6}x/\frac{1}{6}=10/\frac{1}{6}[/tex]
When dividing by a fraction, you can multiply by the reciprocal of the fraction instead.
To find the reciprocal, flip the numerator and denominator.
1/6 ⇒ flip top number and bottom number ⇒ 6/1=6
Replace the division by 1/6 with multiplication by 6.
[tex]\frac{1}{6}x * 6=10*6[/tex]
[tex]x= 10 *6[/tex]
[tex]x=60[/tex]
The solution to this equation is x=60
