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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

24y−9x=153x=2y−11y=?24y - 9x = 153\\x = 2y - 11\\y = ?

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 49r - 8d = 58\\d = 5r - 5\\r = ?
a A LaTex expression showing 40r - 5r + 0 = 58
b A LaTex expression showing 40r - 5r + 5 = 58
c A LaTex expression showing 40r - 5r - 0 = 58
d A LaTex expression showing 49r + 40r - 40 = 58
e A LaTex expression showing 49r - 5r + 1 = 40
f A LaTex expression showing 49r - 40r + 40 = 58
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 54c - 5d = 117\\d = 9c - 9\\c = ?
a A LaTex expression showing 54c + 45c - 45 = 117
b A LaTex expression showing 45c - 9c + 6 = 117
c A LaTex expression showing 45c - 9c - 6 = 117
d A LaTex expression showing 54c - 9c + 7 = 45
e A LaTex expression showing 54c - 45c + 45 = 117
f A LaTex expression showing 45c - 9c + 9 = 117
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 7x - 2d = 2\\d = 2x + 11\\x = ?
a A LaTex expression showing 4x - 2x - 6 = 2
b A LaTex expression showing 7x - 4x - 22 = 2
c A LaTex expression showing 22x - 2x + 11 = 2
d A LaTex expression showing 4x - 2x + 6 = 2
e A LaTex expression showing 7x + 4x - 22 = 2
f A LaTex expression showing 7x - 2x + 7 = 4
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 36m - 8r = 44\\r = 4m - 4\\m = ?
a A LaTex expression showing 32m - 4m + 1 = 44
b A LaTex expression showing 36m + 32m - 32 = 44
c A LaTex expression showing 36m - 32m + 32 = 44
d A LaTex expression showing 32m - 4m + 4 = 44
e A LaTex expression showing 32m - 4m - 1 = 44
f A LaTex expression showing 36m - 4m + 2 = 32
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 87n - 11x = 103\\x = 7n - 3\\n = ?
a A LaTex expression showing 77n - 7n - 5 = 103
b A LaTex expression showing 33n - 7n + 3 = 103
c A LaTex expression showing 87n - 7n + 6 = 77
d A LaTex expression showing 77n - 7n + 5 = 103
e A LaTex expression showing 87n - 77n + 33 = 103
f A LaTex expression showing 87n + 77n - 33 = 103
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 28c - 2b = 36\\b = 9c + 12\\c = ?
a A LaTex expression showing 24c - 9c + 12 = 36
b A LaTex expression showing 28c - 18c - 24 = 36
c A LaTex expression showing 28c + 18c - 24 = 36
d A LaTex expression showing 28c - 9c + 5 = 18
e A LaTex expression showing 18c - 9c - 4 = 36
f A LaTex expression showing 18c - 9c + 4 = 36
7
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 36m - 9m + 2 = 84
b A LaTex expression showing 47m - 9m + 3 = 36
c A LaTex expression showing 47m + 36m - 40 = 84
d A LaTex expression showing 36m - 9m - 2 = 84
e A LaTex expression showing 40m - 9m + 10 = 84
f A LaTex expression showing 47m - 36m + 40 = 84