All GMAT Math Resources
Example Questions
Example Question #1 : Solving Linear Equations With One Unknown
For what value of would the following equation have no solution?
The equation must always have at least one solution regardless of the value of .
Simplify both sides of the equation as much as possible, and solve for in the equation in terms of :
has exactly one solution unless the denominator is 0 - that is, . We make sure that this value renders no solution by substituting:
The equation has no solution, and is the correct answer.
Example Question #1 : Solving Linear Equations With One Unknown
Solve for :
Example Question #2 : Solving Linear Equations With One Unknown
Solve for :
Example Question #3 : Solving Linear Equations With One Unknown
Solve for :
Example Question #1 : Solving Linear Equations With One Unknown
What is the midpoint coordinate of and ?
Midpoint formula:
Example Question #5 : Linear Equations, One Unknown
What is the midpoint coordinate of and ?
Midpoint formula:
Example Question #286 : Algebra
What is the midpoint coordinate of and ?
Midpoint formula:
Example Question #4 : Solving Linear Equations With One Unknown
Solve the following equation:
.
We start by isolating the absolute value expression:
This gives us two cases when we remove the absolute value:
and
Then we solve for each case:
Example Question #287 : Algebra
Solve for :
The equation has no solution.
Example Question #288 : Algebra
Solve for :
The equation has no solution.