Question

1. solve 2r = 5s/2 - s/4 for s

2. If r =9/2, find s

1. Solve w = x/y - z solve for x
2. If w = -8 y = -5 z = 6 find x

Answer 1

`\textsf{1.} \quad s=(8r)/(9)`

`\textsf{2.} \quad s=4`

`\textsf{1.} \quad x=y(w+z)`

`\textsf{2.} \quad x=10`

Explanation:

Question 1

1. Solve for s:

`\implies 2r = (5s)/(2)-(s)/(4)`

`\implies 2r = s\left((5)/(2)-(1)/(4)\right)`

`\implies 2r = s\left((10)/(4)-(1)/(4)\right)`

`\implies 2r = s\left((9)/(4)\right)`

`\implies 4(2r) = 9s`

`\implies 8r = 9s`

`\implies s=(8r)/(9)`

2. When r = ⁹/₂ :

`\implies s=(8\left((9)/(2)\right))/(9)`

`\implies (8)/(9) * (9)/(2)`

`\implies (8 *9)/(9 *2)`

`\implies s=(72)/(18)`

`\implies s=4`

Question 2

1. Solve for x:

`\implies w=(x)/(y)-z`

`\implies w+z=(x)/(y)`

`\implies y(w+z)=x`

`\implies x=y(w+z)`

2. When x = -8, y = -5, z = 6:

`\implies x=-5(6+(-8))`

`\implies x=-5(6-8)`

`\implies x=-5(-2)`

`\implies x=10`