Question

Select the correct answer.

Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?

Answer 1

Given:

The system of equations is

`y=x-3` ...(i)

`y=-2x+1` ...(ii)

To find:

The set of coordinates that satisfies the system of equations.

Solution:

On equating the given equations, we get

`x-3=-2x+1`

`x+2x=3+1`

`3x=4`

Divide both sides by 3.

`x=(4)/(3)`

Putting
`x=(4)/(3)` in (i), we get

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

`y=(4-9)/(3)`

`y=(-5)/(3)`

Therefore, the required set of coordinates that satisfies the given system of equations is
`\left((4)/(3),(-5)/(3)\right)`.