Solve the system: 2x+y=9 10x-4y=36

This is a simple quadratic
function.

To solve x or y, we need to put the coefficient
of x or y same for each equation so that x or y can be eliminated when we subtract or
add the two equations.

Let's eliminate
y.

The coefficient of y in the first equation is 1, and in
the second equation, it is -4. Therefore, if we multiply 4 to the first equation, the
coefficients of ys in the both equation will be
same.

4(2x
+y=9)

==> 8x +4y=
36

Now, let's add both the
equation.

8x+4y=36

+)10x-4y=36

18x
      =
72

18x=72

x=72/18 =
4

Now, let's  solve
y.

Substitute x for 4. Then, the first equation
is

2(4) +
y=9

8+y=9

y=1

Therefore,
x=4, y=1.

Let's check if these two values are
correct.

If we substitute these values in the second
equation,

10(4)
-4(1)=36

40-4=36

Since the
equation is correct, x=4 and y=1.