Solve the following equations by substitution method −3x − 3y = 3 and y = −5x − 17. Solution : −3x − 3y = 3 -----(1) y = −5x − 17 -----(2) Substitute y = -5x - 17 in the first equation. −3x − 3(-5x - 17) =

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Substitution Example 2. What is the solution of the system of equations below: y = 2 x + 1 2 y = 3 x − 2. Step 1. Identify the best equation for substitution and then substitute into other equation. Step 2. Solve for x. Step 3. Substitute the value

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Rewrite one of the equations to isolate one variable. Let’s solve the first equation for y y:

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Example 1 : Solve the following system of equations by substitution method. 5x - 3y - 8 = 0 and 2x - 3y - 5 = 0 Solution : 5x - 3y - 8 = 0 -----(1) 2x - 3y - 5 = 0 -----(2) Step 1 : Solve (1) for 3y. 5x - 3y - 8