complete the following proof.
given: 5 -2/3x=1
proff: x=6
The word "proof" does not apply here.
You want to say:
solve 5 - 2/3x=1
The way you typed it ...
multiply each term by 3
15 - 2x = 3
-2x = -12
divide by -2
x = 6
To complete the proof, we need to solve the equation 5 - (2/3)x = 1 for x.
Here are the steps to solve the equation:
Step 1: Start with the given equation: 5 - (2/3)x = 1.
Step 2: Simplify the equation by subtracting 5 from both sides:
5 - (2/3)x - 5 = 1 - 5.
-(2/3)x = -4.
Step 3: Divide both sides of the equation by -(2/3) to isolate x:
(-(2/3)x) / (-(2/3)) = (-4) / (-(2/3)).
x = (-4) / (-(2/3)).
Step 4: Simplify the equation further:
x = (-4) * (-(3/2)).
x = 12/2.
x = 6.
Therefore, we have proved that x equals 6 by solving the given equation.