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WorksheetsSolving a System by Elimination Using Addition and Subtraction
Total questions: 25
Worksheet time: 1hrs 17mins
2 or more linear equations with the same set of variables is known as
System
System of Equations
Linear Equations
Quadratic Equations
A method to solving a system of equations by getting rid of one of the variables first to solve for the other variable is
By Graphing
By Substitution
By Elimination
By Drawing
7x + 4y = -6
-7x - 6y = 30
Give the answer to the above system of equation in the form (x,y)
(6, -12)
(6, 12)
(-12, 8)
(12, -8)
-8x - 7y = 10
-8x + 5y = 34
Give the answer to the above system of equation in the form (x,y)
No Solution
(-3, -10)
(3, 2)
(-3, 2)
-2x + y = 1
-4x + y =- 1
Give the answer to the above system of equation in the form (x,y)
(1,3)
no solution
(-1,3)
(3,1)
-3x+3y = 18
5x-3y = -26
Give the answer to the above system of equation in the form (x,y)
(4,2)
(-4,-2)
(-4,2)
(4,-2)
Which is the answer this system of equation
y = 8x + 1
y = 6x + 3
(1, 9)
(4, 14)
(0, 1)
(2, 4)
Solve the system of equations:
7x+2y=24
8x+2y=30
(6,-9)
(-9,6)
(-6,9)
(0,0)
Solve the system of equations:
3x + y = –14
–2x – y = 9
(-5,1)
(5,-1)
(1,4)
(-1,4)
Solve the system of equations:
3x + y = –21
x + y = –5
(-3,8)
(8,-3)
(3,-8)
(-8,3)
Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?
20 minutes
15 minutes
10 minutes
5 minutes
5x - 3y = -36
2x + 3y = 15
Solve using elimination.
−4x − 4y = 0
4x + 4y = 0
(−6, −4)
Infinite number of solutions
(−6, 10)
(6, 4)
7x-9y=29
7x+2y=-15
Solve using Elimination the system of equations.
4x + 8y = 20
-4x + 2y = -30
(-7,1)
(2,-5)
(-2,5)
(7,-1)
Which variable will it be proper to eliminate?
x
y
What do you have to multiply the first equation by to have the x's be opposite and the same?
3
2
-2
-3
3x+7y=23
-3x-7y=-17
Solve by elimination
-2x + 6y = 16
-4x - 3y = 2
(2,2)
(-2, -2)
(-2,2)
(2,1)
You solve a system of equations and your last line is:
y = y
What does this mean? Select all that applies.
The graph is of one line on top of another line.
There are infinite number of solutions.
The graph is of parallel lines.
There is no solution.
The solution is (0, 0)
You solve a system of equations and your last line is:
4 = -5
What does this mean? Select ALL that applies.
There is no solution.
The lines are parallel.
The lines intersect.
The solution is (4, -5)
The are infinite solutions.
A system of linear equations is...
Math Magic
One Equation
Always more than 2 equations
A set of 2 or more linear equations
If trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the situation where you have $100 to spend?
SHOW ANSWER
100(B +T) = 8
3B = 100 + 5T
5B = 100 + 3T
5B + 3T = 100
Which equation represents the first step to solving the following system of equations using the elimination method?
2x - y = 7
x = 2y - 1
SHOW ANSWER
2x – y = 7
x = 2y – 1
2( 2y- 1) - y = 7
2x – y = 7
x – 2y = -1
2x -- y = 7
-2( x – 2y = -1)
