Question

2x - y - 4-0

3x + y - 9=0
What is the solution set of the given system?
Of(5,5)
[(5, 6)) [/13/5, 6/5) [[6/5, 13/5))

Answer 1

(
`(13)/(5)` ,
`(6)/(5)` )

Explanation:

Given the 2 equations

2x - y - 4 = 0 → (1)

3x + y - 9 = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, thus

5x - 13 = 0 ( add 13 to both sides )

5x = 13 ( divide both sides by 5 )

x =
`(13)/(5)`

Substitute this value into either of the 2 equations and evaluate for y

Substituting into (2)

`(39)/(5)` + y - 9 = 0

-
`(6)/(5)` + y = 0 ( add
`(6)/(5)` to both sides )

y =
`(6)/(5)`

Solution is

(
`(13)/(5)` ,
`(6)/(5)` )