Answer:
n = -12
Step-by-step explanation:
(-2/3)n + 7 = 15
(-2/3)n+7-7 = 15-7 Subtract by 7 on both sides
(-2/3)n = 8 Multiply by the reciprocal of the fraction, which is
(-2/3)n*(-3/2) = 8(-3/2) This makes it so you get n *1 and isolates n.
n = -24/2 = -12
Isolate the variable in the equation, by first subtract it with number 7 and divide it with fraction -2/3. The value of isolated variable is -12.
To isolate the variable of a equation do same operations both the sides of the equation. Do this process till the variable of the equation isolated one side of the equation.
Given information-
The given equation in the problem is,
[tex]-\dfrac{2}{3}n+ 7 = 15[/tex]
To find the value by isolating the variable need the following steps as,
Subtract with the number 7 both sides of the equation as,
[tex]-\dfrac{2}{3}n+ 7 -7= 15-7\\-\dfrac{2}{3}n= 8[/tex]
Step 2-
Divide the equation with fraction -2/3 both sides of the equation as,
[tex]-\dfrac{2}{3}n\div\dfrac{-2}{3}= 8\div\dfrac{-2}{3}\\n= \dfrac{-24}{2}\\n=-12[/tex]
Thus the value of isolated variable n is -12 for the given equation.
Hence, to isolate the variable in the equation, first subtract it with number 7 and divide it with fraction -2/3. The value of isolated variable is -12.
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