## Introductory Algebra for College Students (7th Edition)

An equation is a mathematical statement that shows that two expressions are true and are connected by an equal sign.. For example, in $5x+3=4x+1$, the expressions are $5x+3$ and $4x+1$. A solution is the value of the variable that makes the equation a true statement. It is figured out by solving for the variable, as shown below. $5x+3=4x+1$ $(5x+3)-4x=1$ $x+3=1$ $(x+3)-3=(1)-3$ $x=-2$ The solution to the equation is -2. Too make sure you're right, insert the solution into the equation. $5(-2)+3=4(-2)+1$ $-10+3=-8+1$ $-7=-7$✔ With the solution, both expressions equal -7, so the solution is correct.