y = -2x + 6
Explanation:Given:
[tex]10x\text{ + 5y = 30}[/tex]To find:
to rewrite the equation in function form
For an equation to be in function form, it means we will make y the subject of formula
[tex]\begin{gathered} 10x\text{ + 5y = 30} \\ subtract\text{ 10x from both sides:} \\ 10x\text{ - 10x + 5y = 30 - 10x} \\ 5y\text{ = 30 - 10x} \end{gathered}[/tex][tex]\begin{gathered} 5y\text{ = -10x + 30} \\ divide\text{ both sides by 5:} \\ \frac{5y}{5}\text{ = }\frac{-10x\text{ + 30}}{5} \\ y\text{ = }\frac{-10x+30}{5} \\ y\text{ = -10x/5 + 30/5} \\ \\ y\text{ = -2x + 6} \end{gathered}[/tex]