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# Systems of Linear Equations (Grade 9)

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## Systems of Linear Equations

1.
Solve by substitution.

-x + y = -4
y = 2x - 11
1. (7, 3)
2. (-7, 3)
3. (3, 7)
4. (-3, -7)
2.
Solve for x and y.
2x + 3y = 7
x + y = 3
1. x=2, y= -1
2. x=2, y=1
3. x=4, y=1
4. x=5, y=2
3.
Give the number of solutions.

2x + y = 2
y - 2 = -2x
1. one solution
2. no solution
3. infinite number of solutions
4.
2x + 3y = 1
3x + 2y = 1
1. one solution
2. no solution
3. infinite # of solutions
5.
Solve by substitution.

y = -6
y = -2x - 2
1. (1, 4)
2. (-2, 6)
3. (2, -6)
4. (4, 1)
6.
Solve for x and y.
3x - 4y = 26
x - 8y = 22
1. x=6, y= -2
2. x=4, y=3
3. x=1, y=6
4. x= -3, y=4
7.
(1, -4)

y = -4x
y = 2x - 2 1. solution
2. not a solution
8.
y - 3x = 5
4y + 4x = 12
1. (-1/2, 7/2)
2. (1/2, 5/2)
3. No solution
4. (7/2, -1/2)
9.
Which system of equations has no solutions?
1. $a - b = 2, \ \ \ b = -a - 3$
2. $a-b=3, \ \ \ a+b=-2$
3. $-a+b=-2, \ \ \ b=a+3$
4. $a+b=3, \ \ \ -a+b=2$
10.
2x + 9y = 0
3x + 5y = 17
1. (-9, 2)
2. (-9, -0)
3. (9, -2)
4. (-2, 9)
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