Question

How do you solve the following system: `y = 3x – 12, -x+y=5`?

Answer 1

`x=\frac{17}{2}, y=\frac{27}{2}`

Explanation:

substituting value of `y` from `y=3x-12` into `-x+y=5` we get
`-x+3x-12=5`
`2x=5+12`
`x=\frac{17}{2}`
Substituting `x=\frac{17}{2}` in `y=3x-12`
`y=3\cdot \frac{17}{2}-12`
`=\frac{27}{2}`
`\thereforex=\frac{17}{2}, y=\frac{27}{2}`