Question

5 less than a number is equivalent to 1 more than three times the number.Write the equation then solve it

Answer 1

y = -3

Step-by-step explanation:

To write this down as an equation, we have:

5 less than a number = y - 5

where y is the unknown number

Is equivalent to 1 more than three times the number:

y - 5 = 1 + 3y

Let's solve for y:

Add 5 to both sides:

y - 5 + 5 = 1 + 3y + 5

y = 1 + 5 + 3y

y = 6 + 3y

Subtract 3y from both sides:

y -3y = 6 + 3y - 3y

-2y = 6

Divide both sides by -2:

`\begin{gathered} (-2y)/(-2)\text{ = }(6)/(-2) \\ \\ y\text{ = -3} \end{gathered}`