Please check my answers

1) make c the subject of the formula
a=b+cd----------b-a/d=c

2) make t the subject of the formula
u=v+2t----------u-v/2=t

3) make n the subject of the formula
m=3n+5--------m-5/3=n

4) make z the subject of the formula
x=3y+z--------x-3y=z

5a) make t the subject of the formula
r=5s+3t--------r-5s/3=t
b) make s the subject of the formula
r=5s+3t-------r-3t/5=s

Thanks

#1 ok, if you say (b-a)/d

same idea for #2,3,5

as written, #1 would be b - a/d, since multiplication is done before addition unless otherwise indicated with parentheses.

Your answers are otherwise ok.

1) Your answer is correct: b - a/d = c

2) Your answer is correct: (u - v)/2 = t

3) Your answer is correct: (m - 5)/3 = n

4) Your answer is correct: x - 3y = z

5a) Your answer is incorrect. The correct answer is: (r - 5s)/3 = t

5b) Your answer is correct: (r - 3t)/5 = s

Your answers are correct! Here's the step-by-step explanation for each formula:

1) To make "c" the subject of the formula "a=b+cd":
- Subtract "b" from both sides: a - b = cd
- Divide both sides by "d": (a - b) / d = c
So, the equation with "c" as the subject is: c = (a - b) / d

2) To make "t" the subject of the formula "u=v+2t":
- Subtract "v" from both sides: u - v = 2t
- Divide both sides by 2: (u - v) / 2 = t
So, the equation with "t" as the subject is: t = (u - v) / 2

3) To make "n" the subject of the formula "m=3n+5":
- Subtract 5 from both sides: m - 5 = 3n
- Divide both sides by 3: (m - 5) / 3 = n
So, the equation with "n" as the subject is: n = (m - 5) / 3

4) To make "z" the subject of the formula "x=3y+z":
- Subtract 3y from both sides: x - 3y = z
So, the equation with "z" as the subject is: z = x - 3y

5a) To make "t" the subject of the formula "r=5s+3t":
- Subtract 5s from both sides: r - 5s = 3t
- Divide both sides by 3: (r - 5s) / 3 = t
So, the equation with "t" as the subject is: t = (r - 5s) / 3

5b) To make "s" the subject of the formula "r=5s+3t":
- Subtract 3t from both sides: r - 3t = 5s
- Divide both sides by 5: (r - 3t) / 5 = s
So, the equation with "s" as the subject is: s = (r - 3t) / 5

Well done! Your answers are correct.

R=s+3t

S+3t=r
T=r\3-s