Algebra › How to find the solution to an equation
Solve for , given the equation below.
No solutions
Begin by cross-multiplying.
Distribute the on the left side and expand the polynomial on the right.
Combine like terms and rearrange to set the equation equal to zero.
Now we can isolate and solve for by adding
to both sides.
Solve for :
First, use the distributive property to simplify the right side of the equation. This gives you
Then, subtract and add
to both sides of the equation to get
.
Solve for x:
None of these
Simplify the right side:
Isolate x:
Solve for :
None of the other answers
To solve for , isolate it from the other variables. First, subtract
from both sides to get
.
Then, divide both sides by to get
The sum of four consecutive integers equal 98. What is the sum of the smallest and the largest number in the set?
Let a variable represent the smallest number in the set. Every consecutive number after the first number will be one unit greater than the other. Then, the four numbers that sum up to 98 are:
where every term in parenthesis represents a number. Add and solve for .
The smallest number is , and the largest number is
. Therefore:
The correct answer is:
Solve for
None of the other answers.
Find the solution to this equation:
None of the other answers.
To find the solution to this equation you must completely isolate x.
Start by dealing with the parenthesis first. Distribute the 25:
Combine the x terms and move the constant over:
Finally divide the constant away from x to solve:
Here, . Plug these values in and simplify.
Start with the numerator first:
Then do the same in the denominator:
Finally, combine the two results to find the solution:
Solve for :
First, use the distributive property to simplify the right side of the equation:
Then, add and subtract
from both sides to get
Finally, divide both sides by to get
.
Solve for :
None of the other answers
To solve for , you must isolate it from the other variables. Start by adding
to both sides to give you
. Now, you need only to divide
from both sides to completely isolate
. This gives you a solution of
.