Respuesta :

The correct solution is x=5,y=1

Step-by-step explanation:

Given the set of equations

4x-9y=11(1)

10x-9y=41(2)

we have to determine the values of x and y

solve this using elimination method

4x-9y=11(1)

10x-9y=41(2)

(2)-(1)

10x-4x-9y-(-9y)=41-11

10x-4x-0=30

6x=30

x=30/6

=5

substitute y in (1)

[tex]4\times 5-9y=11\\20-9y=11\\9y=20-11=9\\y=9/9\\=1[/tex]

x=5

y=1