
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:
Subtract the equations to eliminate one variable
Plug that number into either original equation and solve for the other variable
Multiply one or both equations by a number to get common but opposite coefficients
Solve for the remaining variable
Make sure the equations are lined up
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