Question

How do solve the following linear system?: `-9x + 5y = 16 , -7x + y = -19`?

Answer 1

Use method of simultaneous equations to get
`x=111/26 and y=283/26`.

Explanation:

In the second equation,
`y=7x-19`.
Now substitute this fact into the first equation to get
`-9x+5(7x-19)=16`
`therefore -9x+35x=16+95`
`therefore x=111/26`.

Now substitute this back to find `y=7(111/26)-19=283/26`.