Question

Uhh help lol
5.3x + y = 28.5
4.2x + 3.1y = 27.2
find x and y

Answer 1

x = 5, y = 2

Explanation:

First, isolate y in the top equation.

`y = -5.3x+28.5`

Next, substitute y in the bottom equation.

`4.2x + 3.1(-5.3x + 28.5) = 27.2`

`5.3x + y = 28.5`

Simplify.

`4.2x + -16.43x + 88.35 = 27.2`

Combine like terms.

`-12.23x + 88.35 = 27.2`

Isolate x on one side.

`-12.23x = -61.15`

Isolate x.

`x = 5`

Substitute x into
`5.3x + y = 28.5`

`5.3(5) + y = 28.5`

Simplify.

`26.5 + y = 28.5`

Isolate y.

`y = 2`

`x = 5 \\y = 2`