Solving Systems of Equations When They Have No Solutions
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
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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
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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
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Substitution Method Worksheet 3 of 6
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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
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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
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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
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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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Solving Systems of Equations When They Have No Solutions
Source: https://www.thoughtco.com/substitution-method-systems-of-equations-worksheet-2312054