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.

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Linear Equation Systems - Simple Equation Substitution To Equation Worksheet

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Linear Equation Systems - Simple Equation Substitution To Equation
1
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 44b - 33b + 36 = 69
b A LaTex expression showing 33b - 11b - 1 = 69
c A LaTex expression showing 33b - 11b + 1 = 69
d A LaTex expression showing 44b + 33b - 36 = 69
e A LaTex expression showing 36b - 11b + 12 = 69
f A LaTex expression showing 44b - 11b + 2 = 33
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 48d - 11r = 82\\r = 4d - 6\\d = ?
a A LaTex expression showing 44d - 4d - 2 = 82
b A LaTex expression showing 48d - 44d + 66 = 82
c A LaTex expression showing 66d - 4d + 6 = 82
d A LaTex expression showing 48d + 44d - 66 = 82
e A LaTex expression showing 44d - 4d + 2 = 82
f A LaTex expression showing 48d - 4d + 3 = 44
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 64c - 9z = 44\\z = 6c + 4\\c = ?
a A LaTex expression showing 64c - 6c + 7 = 54
b A LaTex expression showing 64c + 54c - 36 = 44
c A LaTex expression showing 54c - 6c + 6 = 44
d A LaTex expression showing 54c - 6c - 6 = 44
e A LaTex expression showing 36c - 6c + 4 = 44
f A LaTex expression showing 64c - 54c - 36 = 44
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 45n - 12z = 123\\z = 3n - 8\\n = ?
a A LaTex expression showing 36n - 3n - 1 = 123
b A LaTex expression showing 45n - 3n + 2 = 36
c A LaTex expression showing 45n + 36n - 96 = 123
d A LaTex expression showing 36n - 3n + 1 = 123
e A LaTex expression showing 45n - 36n + 96 = 123
f A LaTex expression showing 96n - 3n + 8 = 123
5
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 7x - 4x - 22 = 2
b A LaTex expression showing 22x - 2x + 11 = 2
c A LaTex expression showing 7x - 2x + 7 = 4
d A LaTex expression showing 7x + 4x - 22 = 2
e A LaTex expression showing 4x - 2x + 6 = 2
f A LaTex expression showing 4x - 2x - 6 = 2
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 56n - 11m = 156\\m = 4n - 12\\n = ?
a A LaTex expression showing 44n - 4n + 0 = 156
b A LaTex expression showing 56n - 44n + 132 = 156
c A LaTex expression showing 44n - 4n - 0 = 156
d A LaTex expression showing 56n + 44n - 132 = 156
e A LaTex expression showing 132n - 4n + 12 = 156
f A LaTex expression showing 56n - 4n + 1 = 44
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 6n - 3n + 3 = 26
b A LaTex expression showing 12n + 6n - 4 = 26
c A LaTex expression showing 12n - 6n - 4 = 26
d A LaTex expression showing 6n - 3n - 3 = 26
e A LaTex expression showing 12n - 3n + 4 = 6
f A LaTex expression showing 4n - 3n + 2 = 26
8
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 12m - 2b = 12\\b = 4m - 2\\m = ?
a A LaTex expression showing 4m - 4m + 2 = 12
b A LaTex expression showing 8m - 4m - 0 = 12
c A LaTex expression showing 12m + 8m - 4 = 12
d A LaTex expression showing 8m - 4m + 0 = 12
e A LaTex expression showing 12m - 4m + 1 = 8
f A LaTex expression showing 12m - 8m + 4 = 12