Question

Please find value of x and y​

Answer 1

x =
`(5)/(7)` , y = -
`(3)/(7)`

Explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x =
`(5)/(7)`

Substitute this value into (1) and evaluate for y

`(10)/(7)` + y = 1 ( subtract
`(10)/(7)` from both sides )

y =
`(7)/(7)` -
`(10)/(7)` = -
`(3)/(7)`

Answer 2

X=x=−5y/3

y=x=−5y/3

Explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3