WorksheetsSolving Systems of Linear Equations by Elimination
Total questions: 20
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
Solve by elimination:
4x+9y=28
-4x-y=-28
4x+9y=28
-4x-y=-28
a)
(-7,0)
b)
(6,0)
c)
(-6,0)
d)
(7,0)
2.
Solve by elimination:
-9x-4y=-20
5x+4y=4
-9x-4y=-20
5x+4y=4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
3.
Solve by elimination:
-x+2y=17
2x+2y=-10
-x+2y=17
2x+2y=-10
a)
ARN
b)
(-9,4)
c)
(-9,-4)
d)
(9,-4)
4.
Solve by elimination
-6x+y= -2
-3x-6y= 12
-6x+y= -2
-3x-6y= 12
a)
(2,0)
b)
no solution
c)
(0,-2)
d)
infinite solutions
5.
Solve the system using Multiplication.
2x + 3y = 12
5x - y = 13
2x + 3y = 12
5x - y = 13
a)
x = -3, y = -2
b)
x = 1.5, y = 2
c)
x = 6, y = 0
d)
x = 3, y = 2
6.
Solve the system by multiplication.
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
7.
what does the top equation need to be multiplied by to create a zero pair?
2x - 6y = 20
2x + 5y = -11
a)
-1
b)
1
c)
-2
d)
2
8.
What is the first step in solving a system of equations by elimination?
a)
Get both equations in standard form and line up the like terms.
b)
Get both equations in slope-intercept form.
c)
Get both equations equal to zero.
d)
Put the x terms first.
9.
Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0
−4x − 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
(−6, 10)
d)
(6, 4)
10.
Solve the system:
x + 6y = 17
x - 3y = 8
x + 6y = 17
x - 3y = 8
a)
(5, 2)
b)
(11, 1)
c)
(1, 11)
d)
no solution
11.
Solve by elimination:
3x+7y=23
-3x-7y=-17
3x+7y=23
-3x-7y=-17
a)
No solution
b)
ARN
c)
(-3,3)
d)
(3,3)
12.
Solve :
x - y = - 6
x + y = 8
x - y = - 6
x + y = 8
a)
(2, 3)
b)
no solution
c)
(1, 7)
d)
(8, 7)
13.
Solve the system of equations.
x + 5y = -27
-2x - 5y = 24
x + 5y = -27
-2x - 5y = 24
a)
(3, 6)
b)
(-3, -6)
c)
(-3, -4)
d)
(3, -6)
14.
For the system below, what method would likely be BEST to use to solve?
4x - 2y = 7
x + 2y = 3
a)
Graphing
b)
Substitution
c)
Elimination
d)
Slope formula
15.
Solve
2x + 4y = 7
2x – 4y = -3
2x + 4y = 7
2x – 4y = -3
a)
(2,3)
b)
(5⁄4,1)
c)
(1,5 ⁄4)
d)
(3,2)
16.
Solve the system of Equation (x,y)
x + 4y = –3
x + 7y = –12
x + 4y = –3
x + 7y = –12
a)
(-3,9)
b)
(9,-3)
c)
(3,9)
d)
(9,3)
17.
Solve the system by elimination.
12x + 36y = −3
−12x − 36y = 0
12x + 36y = −3
−12x − 36y = 0
a)
(10, 1)
b)
(−10, −1)
c)
(10, −1)
d)
No solution
18.
Find the solution to the system below.
3x + y = 19
2x - y = 6
3x + y = 19
2x - y = 6
a)
No solution
b)
(4, 5)
c)
(5, 4)
d)
(14, 5)
19.
Solve by elimination by multiplying bottom by negative 2 if you want.
3x + 4y = 10
6x - 4y = 8
Help -2(3x + 4y = 10)
a)
(1,2)
b)
(2,1)
c)
(-1,-2)
d)
(-2,-1)
20.
5x + y = 9
10x - 7y = -18
Step 1. Identify the coefficient in front of x on top
a)
10
b)
-10
c)
5
d)
-5
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