Question

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

Answer 1

`5x-7y=12` (Consider this equation as equation 1)
`2x+5y=2` (Consider this equation as equation 2)

`x=(7y+12)/5` (From equation 1)
Substitute this value of x in equation 2
`2((7y+12))/5+5y=2`
`14y+24+25y=10`
`39y=-14`
`y=-14/39`
Substitute this value of y in equation 1
`5x-7(-14/39)=12`
`195x+98=468`
`x=370/195`
`x=74/39`