Question

How do you solve the following system: `6x+2y=-4, 3x - 4y = -10`?

Answer 1

`y=1,6`
`y=-6,8`

Explanation:

`6x+2y=-4" (1)"`
`3x-4y=-10" (2)"`
`"extend the equation (2) by 2"`
`6x-8y=-20" (3)"`
`"eliminate the equation (3) from (1) side by side"`
`cancel(6x)-cancel(6x)+2y+8y=-4+20`
`10y=16`
`y=16/10`
`y=1,6`
`"now use (1)"`
`6(1,6)+2y=-4`
`9,6+2y=-4`
`2y=-4-9,6`
`2y=-13,6`
`y=-(13,6)/2`
`y=-6,8`