8. Literal Equations and Dimensional Analysis
Sign In
The word equals
divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the equation.
Equation: 910g=7+ 23k
Solution: k = 3/2 ( 9/10g-7 )
is,
is equal to,
is the same as,and
equalstell us about the placement of the equals sign. Nine tenths of a numberg = seven plus two thirds of another numberk. On the left-hand side, we have the keyword
of.This word tells us the operation that will be used in our equation, which for
ofis multiplication.
plusand
of.Once again,
oftells us to multiply, and
plustells us to add. Sevenplustwo thirds of another numberk 7 + 23 k Putting these sides together, we have a complete equation. 910 g= 7+23 k Finally, we can solve the equation we have written. We will do this by using inverse operations and following the Properties of Equality.
LHS-7=RHS-7
Subtract term
LHS * 3/2=RHS* 3/2
a/b* b/a=1
Rearrange equation