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Linear Equation Systems - Simple Variable Substitution To Equation (Level 2)

This math topic delves into the practice of solving linear systems of equations using the method of substitution. Specifically, it involves substituting one equation into another to eliminate one of the variables and form a single, solvable algebraic equation. Students learn and apply algebraic techniques to find the value of unknown variables that satisfy both equations in the system, enhancing their problem-solving and algebraic manipulation skills in the context of introductory systems of equations.

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Linear Equation Systems - Simple Variable Substitution To Equation

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

7y+2x=50x=9yy=?7y + 2x = 50\\x = 9y\\y = ?

Linear Equation Systems - Simple Variable Substitution To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Variable Substitution To Equation (Level 2)'. 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 variable equation into the first equation to form a single solvable equation
A LaTex expression showing 5b + 3c = 46\\c = 6b\\b = ?
a A LaTex expression showing 5b + 4b = 46
b A LaTex expression showing 5b - 5b = 46
c A LaTex expression showing 5b - 4b = 46
d A LaTex expression showing 5b + 6 = 46
e A LaTex expression showing 5b + 18b = 46
f A LaTex expression showing 5b + 6 = b
2
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 6c + 2m = 88\\m = 8c\\c = ?
a A LaTex expression showing 6c + 6c = 88
b A LaTex expression showing 6c + 16c = 88
c A LaTex expression showing 6c - 6c = 88
d A LaTex expression showing 7c + 8 = c
e A LaTex expression showing 6c + 8 = 88
f A LaTex expression showing 6c - 7c = 88
3
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 10y + 2x = 102\\x = 12y\\y = ?
a A LaTex expression showing 10y + 5y = 102
b A LaTex expression showing 10y - 6y = 102
c A LaTex expression showing 6y + 12 = y
d A LaTex expression showing 10y + 24y = 102
e A LaTex expression showing 10y + 12 = 102
f A LaTex expression showing 10y - 5y = 102
4
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 11b + 8y = 140\\y = 3b\\b = ?
a A LaTex expression showing 11b + 24b = 140
b A LaTex expression showing 11b + 6b = 140
c A LaTex expression showing 11b + 3 = 140
d A LaTex expression showing 7b + 3 = b
e A LaTex expression showing 11b - 6b = 140
f A LaTex expression showing 11b - 7b = 140
5
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 9z + 2n = 38\\n = 5z\\z = ?
a A LaTex expression showing 9z - 4z = 38
b A LaTex expression showing 9z - 5z = 38
c A LaTex expression showing 5z + 5 = z
d A LaTex expression showing 9z + 10z = 38
e A LaTex expression showing 9z + 4z = 38
f A LaTex expression showing 9z + 5 = 38
6
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 6y + 5c = 112\\c = 10y\\y = ?
a A LaTex expression showing 6y + 10 = 112
b A LaTex expression showing 5y + 10 = y
c A LaTex expression showing 6y - 4y = 112
d A LaTex expression showing 6y + 50y = 112
e A LaTex expression showing 6y + 4y = 112
f A LaTex expression showing 6y - 5y = 112
7
Substitute the second variable equation into the first equation to form a single solvable equation
A LaTex expression showing 3y + 2n = 91\\n = 5y\\y = ?
a A LaTex expression showing 3y - 10y = 91
b A LaTex expression showing 3y + 5 = 91
c A LaTex expression showing 3y - 9y = 91
d A LaTex expression showing 3y + 10y = 91
e A LaTex expression showing 3y + 9y = 91
f A LaTex expression showing 10y + 5 = y