Systems of Equations #6

An inconsistent equation means there is no solution and the lines are parallel. A consistent equation means that there is an answer and if there is one solution, then it is independent, but if there are infinite solutions then it is dependent. There are two methods to solving equations; substitution of elimination. The first step for substitution is to solve one equation for one variable. Then,substitute that variable into the other equation. Next, solve for the variable. Lastly, go back and substitute to find the second variable. The first step for elimination is to interchange any two equations. Next, multiply by a constant number. Finally, add one equation to the other to eliminate a variable.