Question

1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e

Answer 1

`1) x = (z)/(4) - y`

`2) b = (e)/(a) - (cd)/(a)`

Step-by-step explanation:

(1) Making x the subject:
`4(x + y) = z`

To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.

The detail procedure is described as following:

`4(x + y) = z`

Apply associate property:

<=>
`4x + 4y = z`

Send 4y to the right side (the sign of 4y must be changed from positive to negative):

<=>
`4x = z - 4y`

Divide both sides by 4:

<=>
`x = (z)/(4) - y`

(2) Make b the subject:
`ab + cd = e`, applying the similar procedure in part (1):

`ab + cd = e`

Send
`cd` to the right side (the sign of

<=>
`ab = e - cd`

Divide both sides by
`a`:

<=>
`b = (e)/(a) - (cd)/(a)`

Hope this helps!

:)

Answer 2

1.x=(z/4)-y

2.b=(e-cd)/a

Step-by-step explanation:

1.

z=4(x+y)

Divide both sides by 4

z/4=x+y

Subtract y from both sides

(z/4)-y=x

Answer

x=(z/4)-y

2.

ab+cd=e

subtract cd from both sides

ab=e-cd

divide both sides by a

b=(e-cd)/a

Answer

b=(e-cd)/a