When x equals 5 and y equals 3 by how much does the value of 3x plus 2y exceed the value of 2x plus 3y?

Answer 1

2.

If x=5 & y =3 then:

3x + 2y = 3 x 5 + 2 x 3

= 15 + 6

= 21

2x + 3y = 2 x 5 + 3 x 3

= 10 + 9

= 19

⇒ 3x+2y exceeds 2x+3y by 21 - 19 = 2.

Alternatively:

3x+2y exceeds 2x+3y by:

(3x+2y) - (2x + 3y) = 3x + 2y - 2x - 3y

= x - y

If x=5 & y=3 then this becomes:

x - y = 5 - 3

= 2

Answer 2

45