Question

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Answer 1

Explanation:

4) You just have to find the lcm of the denominators

a) lcm(4,3,6)=4*3=12

`(3)/(4) x-(2)/(3) =(1)/(6)x\\\\12*((3)/(4) x-(2)/(3)) =12*((1)/(6)x)\\\\12*(3)/(4) x-12*(2)/(3) =12*(1)/(6)x\\\\9*x-8 =2*x\\\\9*x-2*x =8\\\\7*x=8\\\\x=(8)/(7) \\`

b) I don't know the name of the property but it is :

"We can multiply the two members of an equality by the same non-zero number, we obtain an equality. "

5)

`-6x+10+8x=12-4x\\\\(-6x+10)+8x=12-4x\\\\8x+(-6x+10)=12-4x\\\\8x-6x+10=12-4x\\\\2x+10=12-4x\\....`