Question

Given two natural no. 7 times the smaller no. Exceeds 3 times the greater no. By 1 .... 5 times the smaller no. Exceeds twice the greater no. By 2 . Represent this data algebrically and graphically.

Answer 1

Answer:

7x=3y+1----->i

5x=2y+2----->ii

7x-3y=1

5x-2y=2

5(1+3y/7)-2y=2

5+15y-14y/7=2

5+y=14

y=9

x=4

Answer 2

Answer:

X = 4, Y = 9

Step-by-step explanation:

Let smaller no. Be x and larger no. Be y

7x = 3y +1

7x - 3y = 1 (1)

5x = 2y + 2

5x - 2y = 2 (2)

Multiply (1) with 2 and (2) with 3

14x - 6y = 2 (3)

15x - 6y = 6 (4)

- (3) from (4)

15x -6y - (14x - 6y) = 6 - 2

Therefore, x = 4

7x = 3y + 1

7x - 1 = 3y

7(4) - 1 = 3y

28 - 1 = 3y

27 = 3y

Therefore y = 9