Question

How do you solve `2x-3y=24` and `y+7x=46` using substitution?

Answer 1

`x=162/23`
`y=-76/23`

Explanation:

Multiplying both sides of the equation `y+7x=46` by `3`
we get
`3y+21x=138`
`2x-3y=24`
Adding up both the above equations
we get
`3y+21x+2x-3y=138+24`
or
`23x=162`
or
`x=162/23`
From the equation `y+7x=46`
we get
`y=46-7x`
or
`y=46-7(162/23)`
or
`y=46-1134/23`
or
`y=(46(23)-1134)/23`
or
`y=(1058-1134)/23`
or
`y=-76/23`