- #1

- 49

- 17

- Homework Statement
- Make t the subject of the formula

p=(3-2t)/(4+t)

The left hand side was given in the traditional fraction form, with numerator on top of denominator; this is just the same, yeah, with the slash?

- Relevant Equations
- N/A

Step 1

Mult.both sides by 4+t;

p(4+t)=3-2t

Step 2

Expand brackets;

4p+pt=3-2t

Step 3

Sub.4p from both sides;

pt=3-2t-4p

Step 4

Add 2t to both sides;

pt+2t=3-4p

Step 5

Factorise left side;

t(p+2)=3-4p

Step 6

Divide both sides by (p+2);

t=3-4p/p+2

Nb. I did try an online calculator but couldn't get it to work (probably me!)

Also, I puzzled over this for ages. Then watched a Maths Genie video (Rearranging Harder Formulae), where I learned that you could factorise, expand brackets, etc. I still don't know if my answer is correct though.

Mult.both sides by 4+t;

p(4+t)=3-2t

Step 2

Expand brackets;

4p+pt=3-2t

Step 3

Sub.4p from both sides;

pt=3-2t-4p

Step 4

Add 2t to both sides;

pt+2t=3-4p

Step 5

Factorise left side;

t(p+2)=3-4p

Step 6

Divide both sides by (p+2);

t=3-4p/p+2

Nb. I did try an online calculator but couldn't get it to work (probably me!)

Also, I puzzled over this for ages. Then watched a Maths Genie video (Rearranging Harder Formulae), where I learned that you could factorise, expand brackets, etc. I still don't know if my answer is correct though.