Verified Answer :

x=2,y=0


plug it in and check.


Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

\(5x+2y=10\)     (1)

And \(3x+2y=6\)      (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

\(15x+6y=30\)      (3)

\(15x+10y=30\)      (4)

Now subtract  (4) from (3) we get:

\(-4y=0\)

\(y=0\)

Now, put y=0 in (1) equation:

\(5x+2(0)=10\)

\(5x=10\)

\(x=2\)

Hence, x=2 and y=0