Question

Make x the subject of these equations. Thanks ^^

9x+v=4x+w

ax+4=3x+b

5x-w=vx+y

7-wx=vx+1

5(wx-v)=8(x+v)

Answer 1

x=w-v/13

x=b-4/(a-3)

x=y+w/(5-v)

x=6/(v+w)

x=13v/(5w-8)

Explanation:

We are to make x the subject of formula

So let's solve

9x+v=4x+w

Let's collect like terms

9x-4x=w-v

13x=w-v

Divide both sides by 13

x=w-v/13

ax+4=3x+b

Collect like terms

ax-3x=b-4

x(a-3)=b-4

x=b-4/(a-3)

5x-w=vx+y

Collect like terms

5x-vx=y+w

x(5-v)=y+w

x=y+w/(5-v)

7-wx=vx+1

Collect like terms

7-1=vx+wx

6=x(v+w)

x=6/(v+w)

5(wx-v)=8(x+v)

Open the bracket

5wx-5v=8x+8v

Collect like terms

5wx-8x=8v+5v

x(5w-8)=13v

x=13v/(5w-8)

Answer 2

`9x + v = 4x + w \\ 9x - 4x = w - v \\ 5x = w - v \\ x = (w - v)/(5)`

`ax + 4 = 3x + b \\ ax - 3x = b - 4 \\ x(a - 3) = b - 4 \\ (x(a - 3))/((a - 3)) = (b - 4)/((a - 3)) \\ x = (b - 4)/((a - 3))`

`7 - wx = vx + 1 \\ - wx - vx = 1 - 7 \\ - x(w + v) = - 6 \\ x = (6)/((w + v))`

`5(wx - v) = 8(x + v) \\ 5wx - 5v = 8x + 8v \\ 5wx - 8x = 5v + 8v \\ x(5w - 8) = 13v \\ x = (13v)/((5w - 8))`