Solve the system using any method :15x +11y = 1322x + 3y = 59

15x + 11y =
132...........(1)

2x + 3y = 59
..................(2)

We will use the substitution method
to solve.

We will rewrite equation (2) and a function of
x.

==> y= (59 - 2x)
/3

Now we will substitute into
(1).

==> 15x + 11 ( 59-2x)/3 =
132

==> 15x + 649/3 - 22/3 x =
132

==> 15x - 22/3 x = 132 -
649/3

==> (45-22)/3 x =
-253/3

==> 23/3 x =
-253/3

==> x = -253/23 =
-11

==> y= (59-2x)/3 = (59+22)/3 = 81/3=
27

==> y=
27

Then the solution to the system is
the pair (-11, 27)