Question

Solve the equation and determine the value of t.

t + 38 = 420


t =

Answer 1

`\displaystyle t = 382`

Explanation:

we are given a equation

we want to figure out t

to do so

recall that

• addition equality property
• Substraction equality property
• multiplication equality property
• division equality property

therefore

if we substract 38 from both sides it won't affect the equality

so

`\displaystyle t + 38 - 38 = 420 - 38 \\ \therefore \: t = 382`

let's verify it

`\displaystyle382 + 38\stackrel{?}{=}420`

simplify addition:

`\displaystyle420\stackrel{ \checkmark}{=}420`

hence, verified!

Answer 2

`t=382`

Explanation:

`\mathrm{Subtract\:}38\mathrm{\:from\:both\:sides}`

`t+38-38=420-38`

`=382`