You need to solve for `x ` and `y` the system of simultaneous equations, such that:

`{(-3x + 5y = 10),(2x + (1/2)y = 24):}`

You need to bring the terms to the bottom equation to a common denominator, such that:

`4x + y = 48 => y = 48 - 4x`

You need to substitute `48 - 4x ` for y in top equation, such that:

`-3x + 5(48 - 4x) = 10`

`-3x + 240 - 20x = 10 => -23x = 10 - 240 => -23x = -230`

`x = 10 `

Substituting back 10 for x in equation `y = 48 - 4x` yields:

`y = 48 - 40 => y = 8`

Hence, evaluating the solution to the given system, using substitution `y = 48 - 4x,` yields `x = 10, y = 8.`