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In the system of linear equations below, q and r are constants, The solution is (-1,4)

qx- ry = 18


rx + qy= 13


q=?
r=?


Sagot :

Answer: [tex]r=-5,q=2[/tex]

Step-by-step explanation:

Given

The system of linear equations are

[tex]qx-ry=18\\rx+qy=13[/tex]

It is given (-1,4) is the solution to the equations

[tex]\therefore -q-4r=18\quad \ldots(i)\\-r+4q=13\quad \ldots(ii)[/tex]

Solve the above equation we get

[tex]r=-5,q=2[/tex]