Question

How do you solve the system of equations: x = 3 - 2y ; 2x + 4y = 6?

Answer 1

You get: `oo` number of solutions!

Explanation:

Take the first equation and substitute into the second for `x`:
`2(color(red)(3-2y))+4y=6`
`6cancel(-4y)cancel(+4y)=6`
`6=6`!!!
In reality the second equation is equal to the first multiplied by `2`!!!
You have the equations of 2 coincident lines, or, two lines one superimposed over the other, so, your system will have `oo` solutions (i.e., `oo` points in common).