Question

How do you solve the following system?: `2x +7y =-9 , 12x +5y = -2`

Answer 1

`y=-52/37`
`x=-31/74`

Explanation:

`2x + 7y =-9" "(1)`
`12x +5y=-2" "(2)`
`color(red)6(2x +7y)=-color(red)6*9`
`12x+42y=-54" "(3)`
`"find (2)-(3)"`
`cancel(12x)-cancel(12x)+5y-42y=-2+54`
`-37y=52`
`y=-52/37`
`2x+7(-52/37)=-9`
`2x-364/37=-9=`
`2x=-9+364/37`
`2x=-31/37`
`x=-31/74`