Question

How do you solve the system of equations `2y = 10x + 24` and `5x - y = - 12`?

Answer 1

There are infinitely many solutions,

Explanation:

Make `y` the subject in both equations:

`2y=10x+24" and "5x-y =-12`

`y = 5x+12color(white)(xxxxxxxx)5x+12 =y`

We can see now that the two equations are actually exactly the same.

There is no unique solution for an equation with two variables.
The equations cannot be solved.

A few solutions are:

`x=1, " "y=17`
`x =0," " y= 12`
`x=3, " "y= 27`
`x=-5, " "y = -13`