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Solving Systems of L

QuestionAnswer
Solve the following by substitution. x+y=5 7x-9y=3 Get either y or x by its self in the first equation. x=5-y Substitute 5-y in for x in the second equation. 7(5-y)-9y=3 35-7y-9y=3 -7y-9y=-32 -16y=-32 y=2 ANS: (3,2)
Solve the following using by substitution. x=-2y+2 3x+y=16 Substitute -2y+2 in for x in the second equation. Then solve. 3(-2y+2)+y=16 -6y+6+y=16 -5y+6=16 -5y=10 y=-2 Substitute -2 in for y in either equation. x=-2(-2)+2 x=4+2 x=6 ANS: (6,-2)
Solve the following using by substitution. y=9-2x y=4x+15 Since both equations have y alone.. 9-2x=4x+15 Then simply solve the equation. 9-2x=4x+15 -2x=4x+6 -6x=6 x=-1 Substitute -1 in for any equation. y=9-2(-1) y=9+2 y=11 ANS: (-1, 11)
Solve the following by substitution. x+y=5 7x-9y=3 Get either y or x by its self in the first equation. x=5-y Substitute 5-y in for x in the second equation. 7(5-y)-9y=3 35-7y-9y=3 -7y-9y=-32 -16y=-32 y=2 ANS: (3,2)
Created by: pistons07