HomePricing

Linear Equation Systems - Simple Equation Substitution To Equation (Level 1)

This math topic involves solving systems of linear equations through substitution. Each problem provides a pair of linear equations with variables, and the task is to substitute one equation into the other to form a single solvable equation. The goal is to simplify the equations to find the value of one variable. Multiple choice answers are provided for selecting the correctly simplified equation. This is an introductory exercise to the broader subject of algebraic systems of equations, aimed at developing skills in equation manipulation and substitution.

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

View Unit

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

5n+r=49r=9n+7n=?5n + r = 49\\r = 9n + 7\\n = ?

Linear Equation Systems - Simple Equation Substitution To Equation Worksheet

Mobius Math Club logo
Math worksheet on 'Linear Equation Systems - Simple Equation Substitution To Equation (Level 1)'. 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 9d - p = 44\\p = 2d + 12\\d = ?
a A LaTex expression showing 9d - 9d + 10 = 44
b A LaTex expression showing 9d - 2d - 12 = 44
c A LaTex expression showing 9d - 2d - 7 = 9
d A LaTex expression showing 10d + 2d - 12 = 44
e A LaTex expression showing 9d - 2d + 6 = 44
f A LaTex expression showing 9d - 2d - 6 = 44
2
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11p - d = 36\\d = 3p + 4\\p = ?
a A LaTex expression showing 7p + 3p - 4 = 36
b A LaTex expression showing 11p - 3p - 4 = 36
c A LaTex expression showing 6p - 3p - 3 = 36
d A LaTex expression showing 6p - 3p + 3 = 36
e A LaTex expression showing 11p - 6p + 7 = 36
f A LaTex expression showing 11p - 3p - 4 = 6
3
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 5y + x = 27\\x = 7y + 3\\y = ?
a A LaTex expression showing 3y - 7y - 0 = 27
b A LaTex expression showing 5y + 3y + 4 = 27
c A LaTex expression showing 4y + 7y + 3 = 27
d A LaTex expression showing 5y + 7y + 1 = 3
e A LaTex expression showing 5y + 7y + 3 = 27
f A LaTex expression showing 3y + 7y + 0 = 27
4
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11y - n = 32\\n = 3y + 8\\y = ?
a A LaTex expression showing 11y - 6y + 7 = 32
b A LaTex expression showing 11y - 3y - 8 = 32
c A LaTex expression showing 7y + 3y - 8 = 32
d A LaTex expression showing 6y - 3y - 3 = 32
e A LaTex expression showing 11y - 3y - 4 = 6
f A LaTex expression showing 6y - 3y + 3 = 32
5
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 9r + p = 88\\p = 3r + 4\\r = ?
a A LaTex expression showing 9r + 3r + 6 = 8
b A LaTex expression showing 8r - 3r - 5 = 88
c A LaTex expression showing 9r + 8r + 9 = 88
d A LaTex expression showing 8r + 3r + 5 = 88
e A LaTex expression showing 9r + 8r - 9 = 88
f A LaTex expression showing 9r + 3r + 4 = 88
6
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 2m + x = 25\\x = 8m + 5\\m = ?
a A LaTex expression showing 2m + 3m + 4 = 25
b A LaTex expression showing 3m + 8m + 0 = 25
c A LaTex expression showing 4m + 8m + 5 = 25
d A LaTex expression showing 2m + 8m + 1 = 3
e A LaTex expression showing 2m + 8m + 5 = 25
f A LaTex expression showing 3m - 8m - 0 = 25
7
Substitute the second equation into the first equation to form a single solvable equation
A LaTex expression showing 11d - p = 11\\p = 2d + 7\\d = ?
a A LaTex expression showing 11d - 2d - 1 = 3
b A LaTex expression showing 3d - 2d + 0 = 11
c A LaTex expression showing 11d - 3d + 4 = 11
d A LaTex expression showing 3d - 2d - 0 = 11
e A LaTex expression showing 4d + 2d - 7 = 11
f A LaTex expression showing 11d - 2d - 7 = 11