
Solving System of Equations with Multiplication
Authored by Anthony Clark
Mathematics
9th Grade

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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the system using Multiplication.
2x + 3y = 12
5x - y = 13
x = -3, y = -2
x = 1.5, y = 2
x = 6, y = 0
x = 3, y = 2
2.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Solve for x and y
3x + 2y = 16
7x + y = 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
3.
DRAG AND DROP QUESTION
1 min • 5 pts
In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4( (a) )-2 (b) =-6
36- (c) y-2y= (d)
36- (e) =-6
9-3y
y
12
-6
14y
x
10y
x+3y
24y
4.
DRAG AND DROP QUESTION
1 min • 2 pts
In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4(9-3y)-2y =-6
36-12y-2y=-6
36-14y =-6
-14y= (a)
y= (b)
-42
3
30
-3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the solution:
2x-5y=15
3x+y=31
(10,1)
(13, -8)
(-10,-7)
No Solution
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
−6x + 6y = 0
9x − 8y = 4
(4, −9)
Infinite number of solutions
(−9, 4)
(4, 4)
7.
REORDER QUESTION
1 min • 5 pts
Put the steps for solving by ELIMINATION in order:
Multiply one or both equations by a number to get common but opposite coefficients
Solve for the remaining variable
Subtract the equations to eliminate one variable
Make sure the equations are lined up
Plug that number into either original equation and solve for the other variable
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