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Solving systems of equations by substitution

Total questions: 20

Worksheet time: 2hrs 36mins

Name
Class
Date
1.
Solve this system of equations. 
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
2.
y = -2x + 5
y = 2x - 11
a)
No Solution
b)
(0, 0)
c)
(3, -1)
d)
(4, -3)
3.
Solve the system by substitution.
 

5x + 4y= −14
y =  −7x  −  15 
a)
(-2, -1)
b)
(1, -2)
c)
(-2, 1)
d)
(-1, -2)
4.
Solve:
y = 2x -11
-3y = -6x -15
a)
(-1.5,-4)
b)
(1.5,4)
c)
No solution (parallel lines)
d)
Infinitely many solutions
5.
x + 2y = 2
x = -4y + 2
a)
(-3, 0)
b)
(0, 2)
c)
(-3, -2)
d)
(2, 0)
6.
x - 3y = -13
4x + 2y = 4
a)
(1, 4)
b)
(-1, -4)
c)
(-1, 4)
d)
(1, -4)
7.
y = -6x + 5
-2x + y = 5
a)
(-3, -6)
b)
(-6, 3)
c)
(0, 5)
d)
(-3, 5)
8.
y = -3x + 11
y = -6x - 13
a)
(-8, 35)
b)
(8, -13)
c)
(1, 8)
d)
(2, 13)
9.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
10.

Solve:

x = -3y - 17

2x + 3y = -7

a)

(1, -20)

b)

(10, 0)

c)

(-5, -2)

d)

(10 , -9)

11.

3x + 2y = 8

-x + y = -11

a)

(-5,6)

b)

(6,-11)

c)

(-6,-5)

d)

(6,-5)

12.

What is the solution to the system of equations?

y = 3x - 8

y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(3,-1)

d)

(3,-1)

13.

Solve the system of equations.

y = -5x

x + 3y = 28

a)

(-6, 30)

b)

(-2, 10)

c)

(-2, 39)

d)

No solution

e)

Infinite solutions

14.

Solve:

y = 8x+1

y = 6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(1, 4)

15.

y = -6x + 5

-2x + y = 5

a)

(-3, -6)

b)

(0, 3)

c)

(0, 5)

d)

(-3, 5)

16.

When solving a system of equations algebraically, which statement results in no solution?

a)

4 = 7

b)

-2 = 2

c)

-3 = 3

d)

all of the above

17.

Solve the system of equations.

a)

(-23, 4)

b)

(-4, -3)

c)

(-2, -4)

d)

No solution

e)

Infinite solutions

18.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

19.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

20.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions