If 2x+6y = 12 and y= 3x+5, find the values of x and y.

Given the system of
equations:

2x + 6y =
12..............(1)

y= 3x + 5
.............(2)

We need to find the solution to the
system.

We will use the substitution method to
solve.

We will substitute (2) into
(1)

==> 2x + 6( 3x+5) =
12

==> 2x + 18x + 30 =
12

==> 20x = 12-
30

==> 20x =
-18

==> x = -18/20 =
-9/10

Now we will substitute into (2) to find
y.

==> y= 3x +5 = 3*-9/10 + 5 = (-27 + 50)/10 =
23/10

Then the answer is : x= -9/10  and y=
23/10