A ____ is a set of two or more equations. Solving a system of equations means finding the ____ where the two lines intersect, or the one solution (x, y) that makes both equations true. There are ____ ways to solve: Graphing, ____ ____, Substitution, and Elimination. ____ works best when the numbers are ____, there are ____, or both equations are in slope-intercept form (y=mx+b). Equal values works best when numbers are ____, there are no fractions, and when both equations are in ____. Substitution works best when one equation is in y=mx+b form, and the other is ____. ____ works well when both equations are in standard form. To solve a system by graphing, graph each line by finding the y-intercept, using the ____ to find a second point, and then drawing a line. The solution is the point where ____. If they do not intersect at an exact point, you should use a different method to solve. To solve a system by equal values method, set both ____ parts of the equations equal to each other. Solve the equation for ____. Substitute the value you got for x back into an equation to solve for y. List the x and y as a point for the solution. To solve a system by substitution, ____ the value of y (the mx+b). ____ the variable Y in the equation written in standard form, and then solve for x. Substitute the value you got for x back into an equation to solve for y. List the x and y as a point for the solution.

Solving Systems of Equations

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