Question

Make x the subject of the formula y=x/5+3p

Answer 1

To make x the subject of the formula y = x/5 + 3p, subtract 3p from both sides, multiply by 5, and then simplify to get x = 5y - 15p.

Step-by-step explanation:

Making x the Subject of the Formula

To make x the subject of the formula y = x/5 + 3p, we need to isolate x on one side of the equation. Here are the steps to do so:

1. Subtract 3p from both sides of the equation to get y - 3p = x/5.
2. Multiply both sides by 5 to eliminate the denominator and get 5(y - 3p) = x.
3. Simplify to obtain the final formula for x: x = 5y - 15p.

In this process, we are essentially performing inverse operations to isolate x. By undoing the addition of 3p and the division by 5, we successfully make x the subject of the formula.

Answer 2

`\bf y=\cfrac{x}{5}+3p\implies y-3p=\cfrac{x}{5}\implies 5(y-3p)=x\implies 5y-15p=x`