Solve by Substitution 2x + y = 7 3x + 3y = - 3
Solve by Graphing Solution: (-1, 3)
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Skills Check
Solve Systems of Equations by Elimination
Steps for Elimination: Arrange the equations with like terms in columns Add the equations. Substitute the value to solve for the other variable. Check
EXAMPLE 1 (-1, 3)
EXAMPLE 2 4x + 3y = 16 2x – 3y = 8 (4, 0)
EXAMPLE 3 3x + 2y = 7 -3x + 4y = 5 (1, 2)
Classwork Solve (-2, 2) (-1, 4) (-1, 2) Use elimination to solve each system of equations. 4. -6x – 5y = -4 5. -3m + 4n = 14 6. 3x + y = 1 6x – 7y = -20 3m + 2n = -2 -x – y = -3 (-1, 2) (-2, 2) (-1, 4)
Classwork (-1, 2) (1, 1) (-3, 4) Solve Use elimination to solve each system of equations. 7. 2x + 3y = 6 8. 2x + 3y = 4 9. 6x – 2y = 4 -2x – 4y = -10 -2x + 4y = 10 x + 2y = 3 (-3, 4) (-1, 2) (1, 1)
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