just like to check if ive got these right. if not can you help??

make the subject (q)
p(q+r)=2(q-p)
ans q=pr+2p/(2-p)

make the subject (p)
p+3=qp+r/(2)
ans p=r-6/(2-q)

make the subject (r)
p(r-q)=2+3(q-r)
ans r=2+3q+pq/(p+3)

make the subject (x)
y=r-qp/(x)
ans x=r-qp/(y)

the second one:

make the subject (p)
p+3=qp+r/(2)
..is wrong,, must be:
ans: p=r-6/(2-2q)

the third one:
make the subject (r)
p(r-q)=2+3(q-r)
..is lacking parenthesis,, must be:
ans: r=(2+3q+pq)/(p+3)

the last one is wrong,,
y=r-qp/(x) *transpose r to left side
y-r = -qp/x *multiply both sides by x
x(y-r) = -qp *divide both sides by (y-r)
x = (-qp)/(y-r)

so there,, =)

Sure! Let's go through each equation and check if the solutions are correct.

1. Making subject q:
Starting equation: p(q+r) = 2(q-p)
To make q the subject, we need to isolate it on one side of the equation.
First, distribute p on the left side: pq + pr = 2q - 2p
Move the terms containing q to one side: pq - 2q = -pr - 2p
Factor out q: q(p - 2) = -pr - 2p
Divide both sides by (p - 2): q = (-pr - 2p)/(p - 2)

So the correct solution for making q the subject is q = (-pr - 2p)/(p - 2).

2. Making subject p:
Starting equation: p + 3 = qp + r/2
To make p the subject, we need to isolate it on one side of the equation.
First, move the terms containing p to one side: p - qp = r/2 - 3
Factor out p: p(1 - q) = r/2 - 3
Divide both sides by (1 - q): p = (r/2 - 3)/(1 - q)

So the correct solution for making p the subject is p = (r/2 - 3)/(1 - q).

3. Making subject r:
Starting equation: p(r - q) = 2 + 3(q - r)
To make r the subject, we need to isolate it on one side of the equation.
First, distribute p on the left side: pr - pq = 2 + 3q - 3r
Collect the terms with r on one side: pr + 3r = 2 + 3q + pq
Factor out r: r(p + 3) = 2 + 3q + pq
Divide both sides by (p + 3): r = (2 + 3q + pq)/(p + 3)

So the correct solution for making r the subject is r = (2 + 3q + pq)/(p + 3).

4. Making subject x:
Starting equation: y = r - qp/x
To make x the subject, we need to isolate it on one side of the equation.
First, move the terms containing x to one side: yx = r - qp
Divide both sides by y: x = (r - qp)/y

So the correct solution for making x the subject is x = (r - qp)/y.

It appears that all of your solutions are correct! Well done!