Ch. 6 Vocabulary 7.) Substitution method (6-2) 8.) Elimination method (6-3)

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Presentation transcript:

Ch. 6 Vocabulary 7.) Substitution method (6-2) 8.) Elimination method (6-3)

6-2 Solving Systems by Substitution Algebra 1

Substitution Steps 1.) Solve one equation for one of the variables which has a coefficient of 1 or -1. 2.) Then substitute your result from #1 into the other equation and solve for a variable. 3.) Then substitute your result from #2 into the first original equation. 4.) Your solution should be written as an ordered pair, (x,y).

Example 1 y= 2 + x 2x + 5y = -11 (-3,-1)

Example 2 x + y=6 3x + y=15 (9/2, 3/2)

Ex. 3 Try this one! y – 2x =3 3x -2y = 5 (-11,-19)

Example 4 x = 3y - 4 6y = 2x + 8 Infinitely Many ( same slope, same y-intercept therefore same line)

Example 5 y = 2x + 1 4x – 2y = 6 No Solution