Solving an algebraic equation just means manipulating the equation so that the variable is by itself on one side of the equation and everything else is on the other side of the equation. Once everything else is simplified, the equation is solved.
What does it mean to solve a system algebraically?
The system of equations are solved by eliminating a variable and solving for the remaining variable. Add the two equations together to eliminate the y, then solve for x.
How do you solve something algebraically?
To solve an algebraic word problem:
- Define a variable.
- Write an equation using the variable.
- Solve the equation.
- If the variable is not the answer to the word problem, use the variable to calculate the answer.