Question

In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)

Answer 1

(8)
`x + y = -8` and
`2x - y = -10`

(9)
`3x - y = -54` and
`4x + y = -30`

(10)
`x + y = 2` and
`x - y = 2`

Explanation:

Given [Missing from the question]

`(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)`

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

`x + y = -6 - 2`

`x + y = -8` --- (1)

`2x - y = 2 * (-6) - (-2)`

`2x - y = -10` -- (2)

So, the equations are:

`x + y = -8` and
`2x - y = -10`

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

`3x - y = 3 *(-12) - 18`

`3x - y = -54`

`4x + y = 4 * (-12) + 18`

`4x + y = -30`

So, the equations are:

`3x - y = -54` and
`4x + y = -30`

Solving (9): (2,0)

Let the equations be: x + y and x - y

`x + y = 2 + 0`

`x + y = 2`

`x - y = 2 - 0`

`x - y = 2`

So, the equations are:

`x + y = 2` and
`x - y = 2`