MAT1033 REVIEW SECTION 3.3 (SYSTEM OF EQUATIONS - ADDITION)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the system of equations using the elimination method.
1)
x + y = -13
x - y = -1
A) (-8, -5)
B) (7, -5)
C) (-7, -6)
2)
3)
4)
5)
6)
7)
8)
-x + 7y = 15
5x - 7y = 9
A) (-3, 6)
x - 5y = 35
2x + 5y = -20
A) (6, 5)
1)
D) No solution
2)
B) (7, 2)
C) (6, 3)
D) No solution
3)
B) (-5, -7)
C) (5, -6)
D) No solution
4)
4x - y = 15
2x + y = 9
A) (4, 1)
C) All ordered pairs along 4x - y = 15
B) (1, 4)
D) No solution
5)
9x - 7y = -66
-9x + 7y = 66
A) (-9, -3)
C) All ordered pairs along 9x - 7y = -66
B) (-2, 8)
D) No solution
6)
x - 5y = -4
7x - 5y = 32
A) (7, 1)
C) All ordered pairs along x - 5y = -4
B) (6, 2)
D) No solution
7)
x + 3y = 33
2x + 3y = 39
A) (-6, 8)
C) All ordered pairs along x + 3y = 33
B) (6, 9)
D) No solution
8)
x - 5y = -25
8x - 6y = 4
A) (5, 6)
C) All ordered pairs along x - 5y = -25
B) (4, 7)
D) No solution
1
9)
10)
11)
12)
x + 4y = 16
4x + 5y = 20
A) (-4, 0)
-4x + 9y = 63
2x + 7y = 49
A) (-1, 8)
6x + 4y = -6
-4x + 2y = 4
A) (-1, 0)
9)
B) (1, 3)
C) (0, 4)
10)
B) (0, 7)
C) (0, 8)
14)
15)
D) No solution
11)
B) (-1, 1)
C) (-2, 1)
D) No solution
12)
-5x - 3y = -2
-25x - 15y = -10
2
A) 0,
5
B)
C) All ordered pairs along -5x - 3y = -2
13)
D) No solution
2
,0
3
D) No solution
13)
-6x + 5y = -4
18x - 15y = -12
A) (24, -20)
C) All ordered pairs along -6x + 5y = -4
B) (-24, 20)
D) No solution
14)
0.9x - 0.4y = 0.1
-0.6x + 0.1y = -0.4
A) (2, 1)
C) All ordered pairs along 0.9x - 0.4y = 0.1
B) (1, 2)
D) No solution
15)
1
1
x- y=3
3
4
2
1
x+ y=3
3
2
A) -
27
, -6
4
B) 3,
1
4
C)
2
27
, -3
4
D) No solution
Determine the nature of the system of equations.
16)
3x + 2y = -10
4x + 6y = 10
A) Consistent with dependent equations
B) Consistent with independent equations
C) Inconsistent with independent equations
17)
18)
19)
20)
21)
22)
16)
17)
2x + 3y = 39
3x + 6y = 72
A) Inconsistent with independent equations
B) Consistent with independent equations
C) Consistent with dependent equations
18)
-2x + 2y = 16
4x + 5y = 76
A) Consistent with dependent equations
B) Inconsistent with independent equations
C) Consistent with independent equations
19)
3x + 7y = 76
6x + 14y = 152
A) Consistent with independent equations
B) Consistent with dependent equations
C) Inconsistent with independent equations
20)
-4x + 5y = 27
-16x + 20y = 108
A) Consistent with independent equations
B) Inconsistent with independent equations
C) Consistent with dependent equations
21)
3x - 6y = -51
21x - 42y = -357
A) Consistent with dependent equations
B) Consistent with independent equations
C) Inconsistent with independent equations
22)
4x + 2y = 46
16x + 8y = 177
A) Consistent with dependent equations
B) Inconsistent with independent equations
C) Consistent with independent equations
3
23)
24)
23)
-3x - y = -40
-6x - 2y = -86
A) Inconsistent with independent equations
B) Consistent with dependent equations
C) Consistent with independent equations
24)
2x - 4y = -15
10x - 20y = -90
A) Consistent with dependent equations
B) Consistent with independent equations
C) Inconsistent with independent equations
4