Question

Please help all questions shown

Answer 1

27. x=7/20; 28. m= 3.7; 29. a= 5.8

30. x= 6; 31.x= 46

Explanation:

27.

`x + (2)/(3) = (9)/( 10)`

you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...

`x = (9)/(10) - (2)/(3)`

now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3

now

30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27

30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20

`x = (27 - 20)/(30)`

`x = (7)/(30)`

Hopefully you understand

28.

`1.2 = m - 2.5`

`1.2 + 2.5 = m`

carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m

when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2

m= 3.7

you can do the other on your own

the error in 30 is that the 7 should not be added to the 13 but subtracted

..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it

`x + 7 = 13`

`x = 13 - 7`

`x = 6`

and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.

`34= y - 12`

`34 + 12 = y`

`y = 46`