9.1 - Solving Systems of Linear Equations by Substitution
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Created by:
clownprincess753 on January 14, 2011
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English | Math / Symbols |
|---|---|
 Solve by substitution.y = 3x - 1 x + y = 11 | Answer) x + y = 11 = x + (3x-1) = 11 = 4x = 12 = x = 3 x + y = 11 = 3 + y = 11 = y = 11 - 3 = y = 8 |
| Solve by substitution. x - 2y = 4 x - 3y = 6 | Answer) x - 2y = 4 --> x = 4 + 2y = (4 2y) - 3y = 6 = -y = 6 - 4 = y = - 2 x - 2y = 4 = x - 2(-2) = 4 = x = 0 |
| Solve by substitution. 2 + y = 3x 6x - 5y = 8 | Answer) 2 + y = 3x --> y = 3x - 2 = 6x - 5(3x-2) = 8 = 6x - 15x + 10 = 8 = -9x = 8 - 10 = x = 2/9 2 + y = 3x = 2 + y = 3(2/9) = y = 2/3 - 2 = y = -4/3 |
| Solve by substitution. y = 8x -y + 2 = -7x | Answer) -y + 2 = -7x = -(8x) + 2 = -7x = -8x + 7x = -2 = x = 2 y = 8x = y = 8(2) = y = 16 |
| Solve by substitution. 4x + 5y = 26 3x = y - 9 | Answer) 3x = y - 9 --> y = 3x + 9 = 4x + 5 (3x+9) = 26 = 4x + 15x + 45 = 26 = 19x = 26 - 45 = x = -1 3x = y - 9 = 3(-1) = y - 9 = y = (-3) + 9 = y = 6 |
| Solve by substitution. y = 3x + 2 x + y = 14 | Answer) x + y = 14 = x + (3x + 2) = 14 = 4x = 14 - 2 = x = 3 y = 3x + 2 = y = 3(3) + 2 = y = 11 |
| Solve by substitution. y = x - 7 x + y = 17 | Answer) x + y = 17 = x + (x - 7) = 17 = 2x = 17 + 7 = x = 12 y = x - 7 = y = 12 - 7 = y = 5 |
| Solve by substitution. y = -3x y - x = 24 | Answer) y - x = 24 = -3x - x = 24 = -4x = 24 = x = -6 y = -3x = y = -3(-6) = y = 18 |
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