Respuesta :

Answer:

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

Answer:

[tex]1) x = \frac{z}{4} - y[/tex]

[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]

Explanation:

(1) Making x the subject: [tex]4(x + y) = z[/tex]

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:

    [tex]4(x + y) = z[/tex]

Apply associate property:

<=> [tex]4x + 4y = z[/tex]

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

<=> [tex]4x = z - 4y[/tex]

Divide both sides by 4:

<=> [tex]x = \frac{z}{4} - y[/tex]

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

      [tex]ab + cd = e[/tex]

Send [tex]cd[/tex] to the right side (the sign of

<=> [tex]ab = e - cd[/tex]

Divide both sides by [tex]a[/tex]:

<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]

Hope this helps!

:)