What is the first step in solving a system by graphing?

Write both linear equations in slope-intercept form

Compare the slopes of both equations

Write both equations in standard form

Steps to Solving Systems of Equations

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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20 questions

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REORDER QUESTION

1 min • 5 pts

Put the steps for solving by SUBSTITUTION in order:

Solve for the first variable

Solve for the second variable

Solve one equation for x or y

Plug the resulting expression into the other equation

Plug that number into the other equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

REORDER QUESTION

1 min • 5 pts

Put the steps for solving by ELIMINATION in order:

Solve for the remaining variable

Multiply one or both equations by a number to get common but opposite coefficients

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

REORDER QUESTION

1 min • 3 pts

Let's solve a system by GRAPHING. Put the steps in order from first to last.

Graph both lines using the slope and y-intercept

Solve both equations for y to get slope-intercept form

The intersection point is the solution

Tags

CCSS.8.EE.C.8B

DRAG AND DROP QUESTION

1 min • 2 pts

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

Tags

CCSS.HSA.REI.C.9

FILL IN THE BLANK QUESTION

1 min • 1 pt

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=

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

-6

14y

10y

x+3y

24y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Steps to Solving Systems of Equations

Put the steps for solving by SUBSTITUTION in order:

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)

Put the steps for solving by ELIMINATION in order:

Let's solve a system by GRAPHING. Put the steps in order from first to last.

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

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=

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

In this system
x+3y=9
4x-2y=-6
we have figured out that x=9-3y, and y=3.
Complete the steps to solve for x:
x=9-3( (a) )
x=9- (b)
x= (c)
The solution to the system is ( (d) , (e) ).

Consider the system 4x+3y=-1 5x+4y=1 Let's say I want to eliminate the y's. What is the least common multiple of 3 and 4?

Consider the system
4x+3y=-1
5x+4y=1
After we do this multiplication, what will the new equations be?
4(4x+3y=-1) ---> (a) x + (b) y= (c)
-3(5x+4y=1) ---> (d) x - (e) y= -3

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Steps to Solving Systems of Equations

Put the steps for solving by SUBSTITUTION in order:

In this systemx+3y=94x-2y=-6it'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)-2​y =-636-​12y-2y=​-636-​14y =-6-14y=​ (a) y=​ (b)

Put the steps for solving by ELIMINATION in order:

Let's solve a system by GRAPHING. Put the steps in order from first to last.

What is the solution to the system of equations?4x-y=33x+y=4(​ (a) ,​ (b) )

In this systemx+3y=94x-2y=-6it'll be easiest to start by solving the first equation for x.The result of doing so is x=​

In this systemx+3y=94x-2y=-6it'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) =-636-​ (c) y-2y=​ (d) 36-​ (e) =-6

In this systemx+3y=94x-2y=-6we have figured out that x=9-3y, and y=3.Complete the steps to solve for x:x=9-3(​ (a) )x=9-​ (b) x=​ (c) The solution to the system is (​ (d) ,​ (e) ).

Consider the system 4x+3y=-1 5x+4y=1 Let's say I want to eliminate the y's. What is the least common multiple of 3 and 4?

Consider the system4x+3y=-15x+4y=1After we do this multiplication, what will the new equations be?​ 4(4x+3y=-1) ---> ​ (a) x +​ (b) y=​ (c) ​-3(5x+4y=1)​ ---> ​ (d) x -​ (e) y= -3

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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)

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

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=

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

In this system
x+3y=9
4x-2y=-6
we have figured out that x=9-3y, and y=3.
Complete the steps to solve for x:
x=9-3( (a) )
x=9- (b)
x= (c)
The solution to the system is ( (d) , (e) ).

Consider the system
4x+3y=-1
5x+4y=1
After we do this multiplication, what will the new equations be?
4(4x+3y=-1) ---> (a) x + (b) y= (c)
-3(5x+4y=1) ---> (d) x - (e) y= -3