What are x and y given that 3x + 2y = 9 and 7x – 5y = 0?

We have the equations:

3x +
2y = 9 ..............(1)

7x - 5y =
0.................(2)

We need to solve for x and
y.

We will use the elimination method to
solve.

We will multiply (1) by 5 and (2) by
2

==> 5*(1) ==> 15x + 10y =
45

==> 2*(2) ==> 14x - 10y =
0

Now we will add both
equations.

==> 29 x =
45

==> x = 45/29

Now we will substitute into (1) to find
y.

==> 3x +2y =
9

==> 3(45/29) + 2y =
9

==> 135/29 + 2y =
9

==> 2y = 9 - 135/29 =
126/29

==> y= 126/29*2 = 
63/29

==> y=
63/29