Linear Equation Systems - Simple Equation Substitution To Equation (Level 3)

This math topic involves practicing the skill of substituting one linear equation into another to form a single solvable equation. It includes multiple examples where students need to perform these substitutions, simplify the equations, and solve for variables. This topic falls under Algebra Systems of Equations - Intro, targeting a process integral to solving systems of linear equations through substitution. Each problem presents an equation with variables and constants, requiring the manipulation of algebraic expressions to isolate and determine the value of unknowns.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Linear Equation Systems - Simple Equation Substitution To Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Substitute the second equation into the first equation to form a single solvable equation

82r−10y=144y=7r−6r=?82r - 10y = 144\\y = 7r - 6\\r = ?

Linear Equation Systems - Simple Equation Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Equation Substitution To Equation (Level 3)'. Part of a broader unit on 'Algebra Systems of Equations - Intro' Learn online: app.mobius.academy/math/units/algebra_systems_of_equations_intro/
1
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12b - 2y = 8\\y = 4b + 2\\b = ?
a A LaTex expression showing 12b - 8b - 4 = 8
b A LaTex expression showing 12b + 8b - 4 = 8
c A LaTex expression showing 12b - 4b + 2 = 8
d A LaTex expression showing 8b - 4b + 1 = 8
e A LaTex expression showing 8b - 4b - 1 = 8
f A LaTex expression showing 4b - 4b + 2 = 8
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 49d - 10n = 114\\n = 4d - 6\\d = ?
a A LaTex expression showing 40d - 4d + 4 = 114
b A LaTex expression showing 49d + 40d - 60 = 114
c A LaTex expression showing 49d - 4d + 5 = 40
d A LaTex expression showing 40d - 4d - 4 = 114
e A LaTex expression showing 49d - 40d + 60 = 114
f A LaTex expression showing 60d - 4d + 6 = 114
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 47m - 4x = 84\\x = 9m - 10\\m = ?
a A LaTex expression showing 47m + 36m - 40 = 84
b A LaTex expression showing 47m - 9m + 3 = 36
c A LaTex expression showing 47m - 36m + 40 = 84
d A LaTex expression showing 40m - 9m + 10 = 84
e A LaTex expression showing 36m - 9m + 2 = 84
f A LaTex expression showing 36m - 9m - 2 = 84
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 70n - 9c = 69\\c = 7n - 3\\n = ?
a A LaTex expression showing 70n - 7n + 5 = 63
b A LaTex expression showing 27n - 7n + 3 = 69
c A LaTex expression showing 63n - 7n - 4 = 69
d A LaTex expression showing 70n + 63n - 27 = 69
e A LaTex expression showing 63n - 7n + 4 = 69
f A LaTex expression showing 70n - 63n + 27 = 69
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 82r - 10y = 144\\y = 7r - 6\\r = ?
a A LaTex expression showing 70r - 7r - 5 = 144
b A LaTex expression showing 82r - 7r + 6 = 70
c A LaTex expression showing 82r + 70r - 60 = 144
d A LaTex expression showing 82r - 70r + 60 = 144
e A LaTex expression showing 60r - 7r + 6 = 144
f A LaTex expression showing 70r - 7r + 5 = 144
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 44b - 3x = 69\\x = 11b - 12\\b = ?
a A LaTex expression showing 33b - 11b - 1 = 69
b A LaTex expression showing 33b - 11b + 1 = 69
c A LaTex expression showing 44b - 11b + 2 = 33
d A LaTex expression showing 44b + 33b - 36 = 69
e A LaTex expression showing 44b - 33b + 36 = 69
f A LaTex expression showing 36b - 11b + 12 = 69
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12n - 2x = 26\\x = 3n + 2\\n = ?
a A LaTex expression showing 12n - 6n - 4 = 26
b A LaTex expression showing 12n + 6n - 4 = 26
c A LaTex expression showing 6n - 3n - 3 = 26
d A LaTex expression showing 12n - 3n + 4 = 6
e A LaTex expression showing 6n - 3n + 3 = 26
f A LaTex expression showing 4n - 3n + 2 = 26