Question

How do you solve the following linear system: # 10x + 25y = 55 , x + y = 3 #?

Answer 1

`x=4/3,y=5/3`

Explanation:

Dividing the first equation by `5` (for simplification)
`2x+5y=11`
`x+y=3`

Multiplying the second equation by `-2`
and adding to the first

`3y=5`
so
`y=5/3`

we get with the solution above `x`

`x=3-5/3=(9-5)/3=4/3`