Solution of a System of Linear Equations Math Definition

The substitution method is one of the ways to solve a system of linear equations. Using this method, you isolate the variables and substitute one of them to solve for the other. These are worksheets you can use to practice the method.

01

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Substitution Method Worksheet 1 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y = −3x
y = x − 8

y = 3 x
y = −8x

y = −2x
y =‐4x + 10

y = −7x
y =−4x − 12

y = 3 x
y =2x − 7

y = 2 x + 3
y = 3

y = 6x + 22
y = −8

y =2 x – 5
y =x

y = 4x + 10
y = −6

y = 8
y =−2 x + 22

y = 4
y =4 x − 24

y = −6 x
y =−3x

Print the worksheet in PDF, answers are on the 2nd page of PDF

Substitution Method Tutorial

02

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Substitution Method Worksheet 2 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y = −7x
y = −7

y = −6
y = −7 x + 1

y = −4
y =−6 x − 4

y = 3x − 3
y = −3

y = 3x − 1
y = −1

y = 0
y = 4x

y =−4x − 1
y = 3

y = 2
y =5x + 7

y = 6 x
y =−3x – 9

y = 2x
y =−2x + 24

y = −5 x
y =6x + 11

y = 2
y = −6 x − 22

Print the worksheet in PDF, answers are on the 2nd page of PDF

03

of 06

Substitution Method Worksheet 3 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y =3x + 1
y = 7

y = −2x
y =8x – 10

y =x − 12
y = −2x

y =5
x − 6y = 7x

y = −2x
y =2x – 20

y =−4x + 16
y = −2x

y =−2x − 6
y = −8x

y =−5x + 5
y = −6x

y =3x + 14
y = 5

y = 2x
y =6x + 8

y = 5x
y =8x – 24

y =7x + 24
y = 3

Print the worksheet in PDF, answers are on the 2nd page of PDF

04

of 06

Substitution Method Worksheet 4 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y = −7x
y =−x – 4

y = −4
y =−2x – 2

y =−3x − 12
y = −6

y = 8
y =x + 8

y = 3
y =−3x – 21

y = −6
y =−7x – 6

y =−8x − 8
y = −8

y = 3
y =x – 2

y =2x − 1
y = −3

y = 3x − 23
y = −2

11.) y = −6x
y =−7x – 6

12.) y = −4x
y =−5x − 5

Print the worksheet in PDF, answers are on the 2nd page of PDF

05

of 06

Substitution Method Worksheet 5 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y = 5
y =2x – 9

y =5x − 16
y = 4

y = −4x + 24
y = −7x

y = x + 3
y = 8

y = −8
y =−7x + 20

y = −7x + 22
y = −6

y = −5
y =−x + 19

y =4x + 11
y = 3

y =−6x + 6
y = −5x

y = −8
y =5x + 22

y =−2x − 3
y = −5x

y =−7x − 12
y = −4

Print the worksheet in PDF, answers are on the 2nd page of PDF

06

of 06

Substitution Method Worksheet 6 of 6

Substitution Method Worksheet. D. Russell

Print the worksheet to solve the linear equations using the substitution method.

Answers are on the second page of the PDF.

y = 5
y =2x – 9

y =5x − 16
y = 4

y = −4x + 24
y = −7x

y = x + 3
y = 8

y = −8
y =−7x + 20

y = −7x + 22
y = −6

y = −5
y =−x + 19

y =4x + 11
y = 3

y =−6x + 6
y = −5x

y = −8
y =5x + 22

y =−2x − 3
y = −5x

y =−7x − 12
y = −4

Print the worksheet in PDF, answers are on the 2nd page of PDF

Edited by Anne Marie Helmenstine, Ph.D.

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Solution of a System of Linear Equations Math Definition

Source: https://www.thoughtco.com/substitution-method-systems-of-equations-worksheet-2312054

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