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: 34p-2= 56r+5
Solution: r=9/10p-42/5
is,
is equal to,and
equalstell us about the placement of the equals sign. Three fourths of a numberpless two = five sixths of another numberrplus five. On the left-hand side, we have the keywords
ofand
less.These words tell us the operations that will be used in our equation.
Ofindicates multiplication, while
lessindicates subtraction.
ofand
plus.Once again,
oftells us to multiply, and
plustells us to add. Five sixths of another numberrplus five 56 r + 5 Putting these sides together, we have a complete equation. 34 p- 2=56 r+ 5 Finally, we can solve the equation we have written. We will do this using inverse operations and following the Properties of Equality.
LHS-5=RHS-5
Subtract terms
LHS * 6/5=RHS* 6/5
a/b* b/a=1
Rearrange equation