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Sterling Middle School
Algebra 1
Homework #26 –Solving a Linear System using the Elimination
method
NAME: ___________________________________DATE: __________________________
Tell whether the ordered pair is a solution of the Linear System or not.
1) (1, -2) ;
2x – 3y = 8
3x + 2y = -1
2) (-4, -6);
-3x + y = 6
-2x + y = -8
3) (4, -1);
x – 4y = 8
-3x + 5y = -3
Without solving the linear system, tell whether the linear system has ONE
solution, NO solution or INFINITELY MANY solutions.
1) y = 6x + 4
y = -6x – 10
2)
y = 3x – 5
y =
6
x –5
2
3)
3y + 6x = 8
2x + y = -10
Solve the linear system by using Elimination.
1) 5x – 3y = -14
x + 3y = 2
2) 3x = y + 5
2x + y = 5
4)
4x + 3y = 9
3
x+y=3
4
Sterling Middle School
Algebra 1
Homework #26 –Solving a Linear System using the Elimination
method
3) x – 4y = -19
3y – 15 = x
4) x + y = 3
-2x + 4y = 6
5) -3x + 11y = -38
2x + 9y = -40
6) 4x + 5y = 100
3x – 2y = 6
7) 4x – 4y = -18
7x – 7y = -4
8) 2x + 4y = 1
6x + 12y = 3
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