Question

x-1/2+x+2/3-x-3/4=1 linear equation

Answer 1

Answer:

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Class 8

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>>Linear Equations in One Variable

>>Solving Linear Equations with Variable on Both Sides

>>Solve for x 1/x - 1 + 2/x - 2 = 3/x - 3

Question

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Solve for x

x−1

1

+

x−2

2

=

x−3

3

Easy

Solution

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x−1

1

+

x−2

2

=

x−3

3

(x−1)(x−2)

x−2+2(x−1)

=

x−3

3

(x−1)(x−2)

2x+x−2−2

=

x−3

3

(x−3)(3x−4)=3(x−1)(x−2)

3x

2

−9x−4x+12=3(x

2

−3x+2)

3x

2

−13x+12=3x

2

−9x+6

−13x+12=−9x+6

13x−12=9x−6

13x−9x=12−6

4x=6

x=

4

6

=

2

3

∴x=

2

3

.