Solving Equations
An equation is a mathematical statement formed by placing an equal sign between two numerical or variable expressions, as in .
A solution to an equation is a number that can be plugged in for the variable to make a true number statement.
Example 1:
Solve:
What number should be subtracted from to get ?
We know that 3 should be subtracted from to get . So,
Therefore,
Hence, the solution of is .
Example 2:
Solve:
What number when multiplied by gives ?
when multiplied by gives . So,
Simplify. We get:
So, the solution is .
Example 3:
Solve:
when divided by what number gives ?
The number, when divided by gives . So,
.
Therefore,
.
Example 4:
Solve:
What number when subtracted from gives ?
The number, when subtracted from gives . So,
.
Therefore,
.