What variable do you eliminate? 4x + 8y = 20 −4x + 2y = −30

X because they have opposite signs

Y because they have opposite signs

What is the first step for solving the system? x = 4 − 2 y x=4-2y x = 4 − 2 y 3 x − 2 y = 4 3x-2y=4 3 x − 2 y = 4

3 ( 4 − 2 y ) − 2 y = 4 3\left(4-2y\right)-2y=4 3 ( 4 − 2 y ) − 2 y = 4

3 x − 2 ( 4 − 2 y ) = 4 3x-2\left(4-2y\right)=4 3 x − 2 ( 4 − 2 y ) = 4

3 x ( 4 − 2 y ) − 2 y = 4 3x\left(4-2y\right)-2y=4 3 x ( 4 − 2 y ) − 2 y = 4

What is the first step to solve this system? − 7 x − 2 y = − 13 -7x-2y=-13 − 7 x − 2 y = − 1 3 x + 2 y = 7 x+2y=7 x + 2 y = 7

add to get − 6 x = − 6 -6x\ =\ -6 − 6 x = − 6

subtract to get − 8 x = − 20 -8x\ =\ -20 − 8 x = − 2 0

subtract to get − 8 x − 4 y = − 20 -8x\ -4y\ =-20 − 8 x − 4 y = − 2 0

add to get − 6 x + 4 y = − 6 -6x\ +4y=-6 − 6 x + 4 y = − 6

Solve the system using the most appropriate method. x = 4 − 2 y x=4-2y x = 4 − 2 y 3 x − 2 y = 4 3x-2y=4 3 x − 2 y = 4

( 2 , 1 ) \left(2,\ 1\right) ( 2 , 1 )

N o S o l u t i o n No\ Solution N o S o l u t i o n

( 7 , − 1 ) \left(7,\ -1\right) ( 7 , − 1 )

( 0 , 2 ) \left(0,\ 2\right) ( 0 , 2 )

Choosing the best method to solve a system of equations

Authored by Richard McKercher

Mathematics

8th - 12th Grade

CCSS covered

Used 41+ times

Choosing the best method to solve a system of equations

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the best method to use?

−4x − 2y = −12
4x + 8y = −24

Graphing

Substitution because a variable is defined

Elimination because the equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the best method to use?
2x − 3y = −1
y =x − 1

Graphing

Substitution because a variable is defined

Elimination because the equations are in standard form.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Should you use the Substitution or Elimination method to solve this system of equations?

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Should you use the Substitution or Elimination method to solve this system of equations?

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Should you use the Substitution or Elimination method to solve this system of equations?

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the best method for solving this system of equations?
-4x-2y=-12
4x+8y=-24

Substitution

Elimination

Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which two methods are appropriate for solving this system of equations?

Substitution or Elimination

Graphing or Substitution

Elimination or Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the most efficient method for solving the following system?
$x=4-2y$
$3x-2y=4$

Substitution

Elimination

Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the most efficient method for solving the following system?
$3x+y=1$
$4x+y=2$

Substitution

Elimination

Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the most efficient method for solving the following system?
$x=-5y+2\ \ \ \$
$x=3y-2$

Substitution

Elimination

Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Choosing the best method to solve a system of equations

What is the best method to use? −4x − 2y = −12 4x + 8y = −24

What is the best method to use?2x − 3y = −1 y =x − 1

Should you use the Substitution or Elimination method to solve this system of equations?

Should you use the Substitution or Elimination method to solve this system of equations?

Should you use the Substitution or Elimination method to solve this system of equations?

Which is the best method for solving this system of equations?-4x-2y=-124x+8y=-24

Which two methods are appropriate for solving this system of equations?

Which is the most efficient method for solving the following system? x=4−2yx=4-2yx=4−2y 3x−2y=43x-2y=43x−2y=4

Which is the most efficient method for solving the following system? 3x+y=13x+y=13x+y=1 4x+y=24x+y=24x+y=2

Which is the most efficient method for solving the following system? x=−5y+2 x=-5y+2\ \ \ \ x=−5y+2 x=3y−2x=3y-2x=3y−2

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Discover more resources for Mathematics

What is the best method to use?

−4x − 2y = −12
4x + 8y = −24

What is the best method to use?
2x − 3y = −1
y =x − 1

Which is the best method for solving this system of equations?
-4x-2y=-12
4x+8y=-24

Which is the most efficient method for solving the following system?
$x=4-2y$
$3x-2y=4$

Which is the most efficient method for solving the following system?
$3x+y=1$
$4x+y=2$

Which is the most efficient method for solving the following system?
$x=-5y+2\ \ \ \$
$x=3y-2$