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Basic_Algebra_Linear_Equations

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2023/2024 Written for academic year
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University Of Reading (UoR)
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This is a pdf containing worked examples of solving basic algebraic equations

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Basic Algebra: Linear Equations
Worked Examples
February 28, 2024


Example 1:

3y − 5 = 10
3y = 10 + 5
3y = 15
15
y=
3
y=5


Example 2:

3y − 5 = 10
3y = 10 + 5
3y = 15
15
y=
3
y=5


Example 3:

4z + 8 = 20
4z = 20 − 8
4z = 12
12
z=
4
z=3


Example 4:

−2a + 7 = 5
−2a = 5 − 7
−2a = −2
−2
a=
−2
a=1


Example 5:

6b − 4 = 14
6b = 14 + 4
6b = 18
18
b=
6
b=3

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  • linear
  • algebra

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