Equations Leading to Linear Equations
Some
equations are almost linear equations; after one or more steps these equations
become linear equations. In this section, we will be converting rational
expressions (one quantity divided by another quantity) into linear expressions
and square root equations into linear equations. The solution(s) to these
converted equations might not be the same as the solution(s) to the original
equation. After certain operations, you must
check the solution(s) to the converted equation in the original equation.
Alfi Blog
Maret 03, 2026
Admin
Bandung Indonesia
Equations Leading to Linear Equations
Some
equations are almost linear equations; after one or more steps these equations
become linear equations. In this section, we will be converting rational
expressions (one quantity divided by another quantity) into linear expressions
and square root equations into linear equations. The solution(s) to these
converted equations might not be the same as the solution(s) to the original
equation. After certain operations, you must
check the solution(s) to the converted equation in the original equation.
Formulas
At times
math students are given a formula like I
= Prt and asked to solve for one of the variables; that is, to isolate that
particular variable on one side of the equation. In I = Prt, the equation is solved for ‘‘I.’’ The method used above for solving for x works on these, too.
Many people are confused by the presence of multiple variables. The trick is to
think of the variable for which you are trying to solve as x and all of the other variables as fixed numbers. For instance, if
you were asked to solve for r in I = Prt,
think of how you would solve something of the same form with numbers, say,
Alfi Blog
Maret 02, 2026
Admin
Bandung Indonesia
Formulas
At times
math students are given a formula like I
= Prt and asked to solve for one of the variables; that is, to isolate that
particular variable on one side of the equation. In I = Prt, the equation is solved for ‘‘I.’’ The method used above for solving for x works on these, too.
Many people are confused by the presence of multiple variables. The trick is to
think of the variable for which you are trying to solve as x and all of the other variables as fixed numbers. For instance, if
you were asked to solve for r in I = Prt,
think of how you would solve something of the same form with numbers, say,
Decimals
Because
decimal numbers are fractions in disguise, the same trick can be used to
‘‘clear the decimal’’ in equations with decimal numbers. Count the largest number
of digits behind each decimal point and multiply both sides of the equation by
10 raised to the power of that number.
Alfi Blog
Maret 01, 2026
Admin
Bandung Indonesia
Decimals
Because
decimal numbers are fractions in disguise, the same trick can be used to
‘‘clear the decimal’’ in equations with decimal numbers. Count the largest number
of digits behind each decimal point and multiply both sides of the equation by
10 raised to the power of that number.
When the equation you are given has fractions and you prefer
not to work with fractions, you can clear the fractions in the first step. Of
course, the solution might be a fraction, but that fraction will not occur
until the last step. Find the LCD of all fractions and multiply both sides of the equation by this
number. Then, distribute this quantity on each side of the equation.
Alfi Blog
Februari 28, 2026
Admin
Bandung Indonesia
When the equation you are given has fractions and you prefer
not to work with fractions, you can clear the fractions in the first step. Of
course, the solution might be a fraction, but that fraction will not occur
until the last step. Find the LCD of all fractions and multiply both sides of the equation by this
number. Then, distribute this quantity on each side of the equation.
Some equations can be solved in a number of ways. However,
the general method in this book will be the same:
Alfi Blog
Februari 27, 2026
Admin
Bandung Indonesia
Some equations can be solved in a number of ways. However,
the general method in this book will be the same:
