How do I solve this math problem ?Mrs. Crews bought 4 pencils and 3 pens for $5.60. Miss Houston bought 2 pencils and 3 pens of the same kind for...

Let the price of the pen be x and the price of pencils be
y.

The cost of 4 pencils and 3 pens is
5.6

==> 4y + 3x = 5.6
.............(1)

Also, the cost of 2 pencils and 3 pens is
4.6

==> 2y + 3x = 4.6
...............(2)

We will solve the system using the
elimination method.

We will subtract (2) from
(1).

==> 2y =
1

==> y= 1/2 =
0.5

==> Now we will calculate
x.

==> 2y + 3x =
4.6

==> 2(0.5) + 3x =
4.6

==> 3x = 4.6 - 1 =
3.6

==> x = 3.6 /3 =
1.2

Then the price of the pen is $1.20 and
the price of the pencil is $0.50