Question

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

Answer 1

`x = 1.25`

`y = 0`

Explanation:

Given

`4x - 5y = 5`

`0.08x + 0.10y = 0.10`

Required

Determine the solution

Make x the subject of formula in:
`4x - 5y = 5`

`4x = 5 + 5y`

Divide both sides by 4

`(4x)/(4) = (5 + 5y)/(4)`

`x = (5 + 5y)/(4)`

Substitute
`x = (5 + 5y)/(4)` in
`0.08x + 0.10y = 0.10`

`0.08((5 + 5y)/(4)) + 0.10y = 0.10`

Solve the fraction

`0.02(5 + 5y) + 0.10y = 0.10`

Open the bracket

`0.1 + 0.1y + 0.10y = 0.10`

`0.1 + 0.2y = 0.10`

Subtract 0.1 from both sides

`0.1-0.1 + 0.2y = 0.10 - 0.1`

`0.2y = 0`

Divide both sides by 0.2

`y =0`

Substitute 0 for y in
`x = (5 + 5y)/(4)`

`x = (5 + 5*0)/(4)`

`x = (5 + 0)/(4)`

`x = (5 )/(4)`

`x = 1.25`