Question

Find two consecutive numbers such that sum of four times the first and triple the second is 157. (Linear Function)

Answer 1

Explanation:

Set up a system of equations,

Consective numbers appear before and after so we need two number such that

`x + 1 = y`

or

`x - y = - 1`

Likewise, we also know that

`4x + 3y = 157`

Let multiply the top equation by 3.

We get

`3x - 3y = - 3`

Then we add the bottom equation to that

`4x + 3y = 157`

`7x = 154`

`x = 22`

Then we plug in x for the original equation,

`22 + 1 = 23`

So the two numbers are 22,23.