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Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization.

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WS: Solving Nonlinear Systems by Graphing Name Graph each system of equations by hand and state its solutiono Then solve using your graphing calculatoro y = x 2 —21+1 Solution: xy=l x 2 + Y2 = 9 (010) r:3 y = 2x —3 Solution: (O IJ.8) F,nd In calc t Top xlz = Ltne y 21 3 Y = log(x) Solution: ( O) Solution. —4— y = 21-2 Solution: +0-2)2

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To solve a system of linear equations without graphing, you can use the substitution method. This method works by solving one of the linear equations for one of the variables, then substituting this value for the same variable in the other linear equation and solving for the other variable.

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Graphing a system of nonlinear inequalities is similar to graphing a system of linear inequalities. The difference is that our graph may result in more shaded regions that represent a solution than we find in a system of linear inequalities. The solution to a nonlinear system of inequalities is the region of the graph where the shaded regions of the graph of each inequality overlap, or where the regions intersect, called the feasible region.

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This study guide looks at systems of linear equations and how to solve them by graphing and by substitution. Some systems may ha ve more than one solution and some may hav e no. solutions at all. Key Terms. System of Linear Equations: A set of equations that must be solved together to nd...

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A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear. This tutorial reviews systems of linear equations.