maraafey8
contestada

Make q the subject of the formula 2(q+p) = 1+5q. Give your answer in the form ap-b/c where a,b and c are all positive integers

Respuesta :

Answer:

[tex]\frac{2p-1}{3}[/tex]

Step-by-step explanation:

Since you want to get q only and q appears in both side of the equation. Try to isolate q to one side.

1) Expand 2(q+p)

2q + 2p = 1 + 5q

2) Move all q terms to one side

5q - 2q = 2p - 1

3q = 2p - 1

3) Divide 3 on both side (to isolate q)

q = [tex]\frac{2p-1}{3}[/tex]

After making q the subject of the formula in the equation 2(q + p) = 1 + 5q, the resulting solution is:

[tex]q = \frac{2p - 1}{3}[/tex]

The given equation is:

2(q + p) = 1 +5q

To make q the subject of the formula, follow the steps below

Expand the expression using the distributive rule

2q + 2p = 1 + 5q

Collect like terms by subtracting 2q from both sides of the equation

2q - 2q + 2p = 1 + 5q - 2q

2p = 1 + 3q

Subtract 1 from both sides of the equation

2p - 1 = 1 + 3q - 1

2p - 1 = 3q

Divide through by 3

[tex] \frac{2p - 1}{3} = q[/tex]

Therefore after making q the subject if the formula in the equation 2(q + p) = 1 + 5q, the resulting solution is:

[tex] q = \frac{2p - 1}{3}[/tex]

Learn more here: https://brainly.com/question/12682361

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas