mrs. spanier algebra 1 solving systems by elimination
TRANSCRIPT
Mrs. SpanierAlgebra 1
Solving Systems by Solving Systems by EliminationElimination
Solve Using EliminationSolve Using Elimination
2x + y = 5 -2x + 3y = 7+
4y = 12 y = 3
2x + 3 = 52x = 2 x = 1
POI = (1, 3)
Solve Using EliminationSolve Using Elimination
1. -x + 2y = -8 x + 6y = -16+
8y = -24 y = -3
x + 6(-3) = -16x - 18 = -16 x = 2
POI = (2, -3)
Solve Using EliminationSolve Using Elimination
2. x + 3y = 1 -5x + 3y = 7-
6x = -6 x = -1
2(-1) + 3y = 1-2 + 3y = 1 3y = 3 y = 2/3
POI = (-1, 2/3)
Solve the system.Solve the system.
2x + y = 5-2x + 3y = 7
-2x + 3(-2x + 5) = 7
-2x – 6x + 15 = 7-8x + 15 = 7-8x = -8 x = 1
2(1) + y = 52 + y = 5 y = 3
POI = (1, 3)
HW check today!
Solve Using EliminationSolve Using Elimination
2. x + 3y = 1 -5x + 3y = 7 -
6x = -6 x = -1-1 + 3y = 1
3y = 2 y = 2/3 POI = (-1,
2/3)
x + 3y = 1-5x + 3y = 7
OR…OR…
2. x + 3y = 1 -5x + 3y = 7 +
-6x = 6 x = -1-1 + 3y = 1
3y = 2 y = 2/3 POI = (-1,
2/3)
-1( ) -x + -3y = -1-5x + 3y = 7
Solve using eliminationSolve using elimination
3. 2x + y = 3-x + 3y = -12 +
2x + y = 3-2x + 6y = -247y = -21
y = -3
2( )
2x + (-3) = 3 2x = 6 x = 3
POI = (3, -3)
Solve using eliminationSolve using elimination
4. 4x – 3y = 152x – 3y = 9
-4x – 3y = 154x – 6y = 18
3y = -3 y = -1
2( )
4x – 3(-1) = 154x + 3 = 15 4x = 12 x = 3
POI = (3, -1)
Solve using eliminationSolve using elimination
4x + 5y = 352y = 3x – 9 +
12x + 15y = 105-12x + 8y = -36
23y = 69 y = 3
3( )
4x +5(3) = 354x + 15 = 35 4x = 20 x = 5
POI = (5, 3)
4( )
Solve using eliminationSolve using elimination
5. 3x = -6y + 12-x + 3y = 6
6. 5x – 4y = 3
2x + 8y = -2
7. 2u = 4v + 83v = 5u – 13
POI = (0, 2)
POI = (⅓, -⅓)
POI = (2, -1)
Solve using any method.
2x + 5y = -243x – 5y = 14
POI = (-2, -4) HW check today!