Question

Write the equation in function form 10x + 5y = 30

Answer 1

Answer:

y = -2x + 6

Step-by-step explanation:

Given:

`10x\text{ + 5y = 30}`

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

`\begin{gathered} 10x\text{ + 5y = 30} \\ subtract\text{ 10x from both sides:} \\ 10x\text{ - 10x + 5y = 30 - 10x} \\ 5y\text{ = 30 - 10x} \end{gathered}`
`\begin{gathered} 5y\text{ = -10x + 30} \\ divide\text{ both sides by 5:} \\ (5y)/(5)\text{ = }\frac{-10x\text{ + 30}}{5} \\ y\text{ = }(-10x+30)/(5) \\ y\text{ = -10x/5 + 30/5} \\ \\ y\text{ = -2x + 6} \end{gathered}`