Question

1. solve 2x-5/7 - 2x-1/2 = 3

2. solve x+1/2 + 2x-1/4 + x+2/3
3. A= 8/x+1 and B=2x+5/x
Given 5-A-B=0
Work out the possible values of x.
Give your solutions to two decimal places.

Answer 1

1.

2(2x-5)-7(2x-1)=3

Multiply both sides of the equation by 14, the least common multiple of 7,2.

2(2x−5)−7(2x−1)=42

Use the distributive property to multiply 2 by 2x−5.

4x−10−7(2x−1)=42

Use the distributive property to multiply −7 by 2x−1.

4x−10−14x+7=42

Combine 4x and −14x to get −10x.

−10x−10+7=42

Add −10 and 7 to get −3.

−10x−3=42

Add 3 to both sides.

−10x=42+3

Add 42 and 3 to get 45.

−10x=45

Divide both sides by −10.

x= −10/45

​Reduce the fraction to lowest terms by extracting and canceling out 5.

x=− 2/9

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2. I don't know this one. Sorry.

3. is in the file