Systems of Linear Equations (Grade 9)
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Systems of Linear Equations
1.
Solve by substitution.
-x + y = -4
y = 2x - 11
-x + y = -4
y = 2x - 11
- (7, 3)
- (-7, 3)
- (3, 7)
- (-3, -7)
2.
Solve for x and y.
2x + 3y = 7
x + y = 3
2x + 3y = 7
x + y = 3
- x=2, y= -1
- x=2, y=1
- x=4, y=1
- x=5, y=2
3.
Give the number of solutions.
2x + y = 2
y - 2 = -2x
2x + y = 2
y - 2 = -2x
- one solution
- no solution
- infinite number of solutions
4.
2x + 3y = 1
3x + 2y = 1
3x + 2y = 1
- one solution
- no solution
- infinite # of solutions
5.
Solve by substitution.
y = -6
y = -2x - 2
y = -6
y = -2x - 2
- (1, 4)
- (-2, 6)
- (2, -6)
- (4, 1)
6.
Solve for x and y.
3x - 4y = 26
x - 8y = 22
3x - 4y = 26
x - 8y = 22
- x=6, y= -2
- x=4, y=3
- x=1, y=6
- x= -3, y=4
7.
(1, -4)
y = -4x
y = 2x - 2
y = -4x
y = 2x - 2

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