Question

How many solutions does the system of equations have 4x+16y=12 y=-1/4x+9/12

Answer 1

The first equation is ,

`4x+16y=12`

First we need to solve this equation for y , and for that we need to subtract 4x from both sides, that is

`16y = 12-4x`

Now we need to get rid of 16, and for that we have to divide both sides by 16, that is

`y= (3)/(4)-(1)/(4) x`

`y= -(1)/(4) x+(3)/(4)`

And the second equation is

`image`

And on simplifying we will get

`y= -(1)/(4) x+(3)/(4)`

Which is same as the firrst equation. And in that case, there are infinite or many solutions .