Math

QuestionExpress aa in terms of yy, zz, and xx from the equation ax+y=za x + y = z.

Studdy Solution

STEP 1

Assumptions1. The given equation is ax+y=zax + y = z . We need to express aa as the subject of the formula, meaning we want to isolate aa on one side of the equation.

STEP 2

First, we need to isolate the term with aa on one side of the equation. We can do this by subtracting yy from both sides of the equation.
ax+yy=zyax + y - y = z - y

STEP 3

implify the equation.
ax=zyax = z - y

STEP 4

Now, to isolate aa, we need to divide both sides of the equation by xx.
axx=zyx\frac{ax}{x} = \frac{z - y}{x}

STEP 5

implify the equation to express aa as the subject of the formula.
a=zyxa = \frac{z - y}{x}So, aa is expressed as the subject of the formula as a=zyxa = \frac{z - y}{x}.

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