Linear Equation Systems - Simple Addition To Equation (Level 2)

This math topic focuses on solving systems of linear equations by eliminating variables through the addition or subtraction of multiples of one equation to another. It is intended for beginners learning about algebraic methods to solve for unknown variables in a system of equations. Each problem presents a pair of equations with two variables and asks to simplify them into a single equation by strategically combining them. The aim is to isolate one variable and solve for it, enhancing skills in manipulation of equations and understanding the relationships between variables in linear systems.

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Linear Equation Systems - Simple Addition To Equation

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Add or subtract multiples of the second equation to the first equation to form a single solvable equation

8x+9p=110−4x+3p=−10p=?8x + 9p = 110\\-4x + 3p = -10\\p = ?

Linear Equation Systems - Simple Addition To Equation Worksheet

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Math worksheet on 'Linear Equation Systems - Simple Addition 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
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 12b + 6d = 114\\-4b + 2d = -10\\d = ?
a A LaTex expression showing 12d = 84
b A LaTex expression showing 12d = 114
c A LaTex expression showing 84d = 12
d A LaTex expression showing 12d = 12
e A LaTex expression showing 84d = 10
f A LaTex expression showing -10d = 114
2
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 5p + 6b = 33\\2p - 3b = -3\\p = ?
a A LaTex expression showing 27p = 6
b A LaTex expression showing 9p = 33
c A LaTex expression showing -3p = 33
d A LaTex expression showing 9p = 27
e A LaTex expression showing 9p = 9
f A LaTex expression showing 27p = 9
3
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 6y + 8z = 34\\-2y + 2z = -2\\z = ?
a A LaTex expression showing 14z = 14
b A LaTex expression showing 14z = 34
c A LaTex expression showing 14z = 28
d A LaTex expression showing -2z = 34
e A LaTex expression showing 28z = 5
f A LaTex expression showing 28z = 14
4
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 6c + 10p = 84\\-3c + 3p = -18\\p = ?
a A LaTex expression showing -18p = 84
b A LaTex expression showing 48p = 16
c A LaTex expression showing 16p = 16
d A LaTex expression showing 48p = 6
e A LaTex expression showing 16p = 48
f A LaTex expression showing 16p = 84
5
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 2x + 12m = 124\\3x - 6m = -30\\x = ?
a A LaTex expression showing 64x = 11
b A LaTex expression showing -30x = 124
c A LaTex expression showing 64x = 8
d A LaTex expression showing 8x = 8
e A LaTex expression showing 8x = 124
f A LaTex expression showing 8x = 64
6
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 4p + 4n = 28\\-2p + 5n = 0\\n = ?
a A LaTex expression showing 28n = 5
b A LaTex expression showing 14n = 28
c A LaTex expression showing 0n = 28
d A LaTex expression showing 4n + 0n - 14 = 28
e A LaTex expression showing 28n = 14
f A LaTex expression showing 14n = 14
7
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 10n + 2p = 48\\-5n + 6p = 39\\p = ?
a A LaTex expression showing 14p = 126
b A LaTex expression showing 14p = 14
c A LaTex expression showing 39p = 48
d A LaTex expression showing 126p = 12
e A LaTex expression showing 126p = 14
f A LaTex expression showing 14p = 48