Question

Find the solution:
16x-18=2y
4x+9=y

x=____
y=____

Answer 1

`x=(9)/(2)` and
`y=27`

Explanation:

A system of linear equations is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

We need to find the solution of the follow equations:

`16x-18=2y` and
`4x+9=y`

First, we divided by 2 the equation
`16x-18=2y`

We obtain
`8x-9=y`

Equating both equations

`8x-9=4x+9`

Let's clear x

`8x-4x=9+9\\4x=18\\x=(18)/(4) \\x=(9)/(2)`

Substituting the value of x in the second equation

`4((9)/(2)) +9=y\\y=(36)/(2) +9=18+9\\y=27`

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