Rewrite each equation to isolate the indicated variable.
y = 9x + 2 for x
df = g - 10 for d
Just follow the steps you usually use:
y = 9x+2
y-2 = 9x
(y-2)/9 = x
df = g-10
d = (g-10)/f
To isolate a variable in an equation, you need to rearrange the equation so that the variable is alone on one side. I will explain how to do this for each equation:
1. y = 9x + 2 for x:
To isolate x in this equation, you need to move all the terms that contain x to one side of the equation.
Start by subtracting 2 from both sides of the equation:
y - 2 = 9x
Next, divide both sides of the equation by 9 to isolate x:
(y - 2) / 9 = x
So, the equation y = 9x + 2 written to isolate x is x = (y - 2) / 9.
2. df = g - 10 for d:
To isolate d in this equation, you need to move all the terms that contain d to one side of the equation.
Start by adding 10 to both sides of the equation:
df + 10 = g
Next, the term df can be thought of as d multiplied by f. To isolate d, divide both sides of the equation by f:
(df + 10) / f = g / f
So, the equation df = g - 10 written to isolate d is d = (g / f) - (10 / f).