Free Printable 9.4 - Solving systems by substitution

1.

a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

2.

a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

3.

a)

(3, -6)

b)

(3, -8)

c)

Infinite number of solutions

d)

(3, 6)

4.

a)

(4, -3)

b)

(-1, -3)

c)

(-4, -3)

d)

(-4, 3)

5.

a)

(-1, 3)

b)

(0, -3)

c)

(1, 3)

d)

(1, -3)

6.

a)

(-1, -6)

b)

(-6, 1)

c)

(-3, -6)

d)

(1, -6)

7.

a)

(2, -3)

b)

(-3, -2)

c)

(6, 4)

d)

(2, 3)

8.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

9.

a)

(-3, -8)

b)

(-8, 3)

c)

(2, 3)

d)

(-8, -6)

10.

a)

(2, -3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

11.

a)

(6, -6)

b)

(-6, -6)

c)

(6, -8)

d)

(-3, -6)

12.

a)

(5, -3)

b)

(3, 5)

c)

(-5, -3)

d)

(-3, -5)

13.

a)

(-8, -5)

b)

No Solution

c)

Infinite number of solutions

d)

(-8, 5)

14.

a)

Infinite number of solutions

b)

(7, 5)

c)

(-1, 5)

d)

No Solution

15.

a)

(-1, -4)

b)

(-4, -4)

c)

(4, -4)

d)

(4, 4)

16.

a)

(-1, -4)

b)

(-4, -4)

c)

(4, -4)

d)

(4, 4)

17.

Using Substitution, solve for the system of linear equations:

$x=-3y+1$

-3x-3y=-15

a)

Infinitely many solutions

b)

(-1,5)

c)

(7,-2)

d)

No solution

18.

Using Substitution, solve for the following system of linear equations: $5x-2y=18$

y=-2x+9

a)

(4,1)

b)

No solution

c)

Infinitely many solutions

d)

(5,-2)

19.

Using Substitution, solve for the following system of linear equations: $-3x+3y=4$

y=x+3

a)

(1,-1)

b)

Infinitely many solutions

c)

(3,4)

d)

No solution

20.

Using Substitution, solve for the following system of linear equations: $y=7x+10$
$y-3=7x+7$

a)

Infinitely many solutions

b)

(3,-7)

c)

(5,9)

d)

No solution

21.

Using Substitution, solve for the following system of linear equations: $y=2x+1$

$y=-x+16$

a)

(3,-7)

b)

No solutions

c)

Infinitely many solutions

d)

(5,11)

22.

Using Substitution, solve for the following system of linear equations: $x-6y=10$

x=6y-1

a)

(-1,1)

b)

No solution

c)

(10,6)

d)

Infinitely many solutions

23.

Using Substitution, solve for the following system of linear equations: $y=3x$

$2x-3y=14$

a)

No solution

b)

Infinitely many solutions

c)

(-3,7)

d)

(-2,-6)

24.

Using Substitution, solve for the following system of linear equations: $x=-2y-1$

-6x=-2y+20

a)

(2,-2)

b)

(-3,1)

c)

Infinitely many solutions

d)

No solution

25.

Using Substitution, solve for the following system of linear equations: $y=x+3$

$y=-2x-3$

a)

No solution

b)

(-3,-3)

c)

Infinitely many solutions

d)

(-2,1)

26.

Using Substitution, solve for the following system of linear equations: $2x-4y=8$

$x=2y+4$

a)

(6,-2)

b)

(4,-8)

c)

Infinitely many solutions

d)

No solution

27.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

28.

6x + y = -1
y = -3x - 4

a)

(3, 1)

b)

(1, 7)

c)

(-3, 1)

d)

(1, -7)

29.

y = -3x + 11
5x + y = 21

a)

(1, -5)

b)

(1, 5)

c)

(-4, 5)

d)

(5, -4)

30.

3x + y = 1
y = 4x + 1

a)

(0, -1)

b)

No Solution

c)

(0, 8)

d)

(0, 1)

31.

x = -3y - 8
x - 2y = -3

a)

(5, -1)

b)

(-5, 1)

c)

(-5,-1)

d)

(1,-5)

32.

y = -2x + 18
y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

33.

5x + y = -10
y = -6x - 13

a)

(4, 5)

b)

(-3, -3)

c)

(3, 5)

d)

(-3, 5)

34.

y = 2x + 5
-4x + y = 9

a)

(-2, 1)

b)

(-2, -1)

c)

(2, -1)

d)

(2, 1)

35.

7x + y = -20
y = 3x + 10

a)

(-3, 1)

b)

(-1, -3)

c)

(-3,-7)

d)

(-1,7)

36.

x + 2y = 2
x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

37.

3y - 2x = 0
y = 4x - 1

a)

(0.3, 0.2)

b)

(-0.3, -0.2)

c)

(-0.3, 0.2)

d)

(0.3, -0.2)

38.

Solve:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

39.

Solve:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

9.4 - Solving systems by substitution

Total questions: 39

Worksheet time: 5hrs 2mins

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