![]() ![]() ![]() ![]() In the second equation y is not multiplied by a constant so it can be isolated in fewer steps. The first step would be to choose one of the equations and solve it for either x or y. Use the addition method to find solution (s) to a system of linear equations. It does not matter which equation you choose first, or which variable you solve for first the values for both variables will be the same.įor example, given the system of linear equations: Learning Outcomes Use the substitution method to find solution (s) to a system of two linear equations. This type of equation creates a line where each point on the line represents an (x, y) ordered pair that is a solution to the equation. When we use this method we solve one equation for one of the variables. A1.3.12 Represent and solve problems that can be modeled using a system of linear equations and/or inequalities. Another alternative to solve a linear system is known as the substitution method. Solution: x 12 b, or x 3 b4 4 Try These A Solve each equation. 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. Section 8.2 Solving Systems by Substitution. 5) y 4x 9 y x 3 6) 4x + 2y 10 x y 13 7) y 5 5x + 4y 20 8) x + 7y 0 2x 8y 22-1-©m u2 P0p1 J2H mKZu Atoav 2Suotf jtuwkaZr jeb tL6LWCB.k Y CAPlSlt mrdirg yhRtWsK 1r jecsre nrOvqe Jd G.W v 7M Xaxdje C 9wli 2tbhM SI XnTfYiYnZi0tme2 kAolVgle eb1r 0a3 D2S. 2 Solving Linear Systems by Substitution: apps: videocam: create: Lesson 3: 9. To solve a system of linear equations without graphing, you can use the substitution method. ![]()
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