Question

if x = 2 and Y = 3 is the solution of the pair of lines 2x - 3 Y + a = and 2 X + 3 Y - b + 2 = 0 then find relation between a and b

Answer 1

Answer:x=2 and y=3

The pair of linear equations are

2x-3y+a=0

2x+3y-b+2=0

2(2)-3(3)+a=0

4-9+a=0

-5+a=0

a=5

2x+3y-b+2=0

2(2)+3(3)-b+2=0

4+9-b+2=0

13-b+2=0

15-b=0

b=15

a=5,b=15

15=3*5

b=3a

....................

Step-by-step explanation:

Answer 2

Concept

Pair of lines

When two lines intersect, they form a linear pair, which is a pair of adjacent angles.

Given

The solution of the lines 2x-3y+a = 0 and 2x+3y-b+2=0 is x=2 and y=3.

To find

The relationship that exists between a and b.

Solution

The solution for the pair of lines is x=2 and y=3.

As a result, swapping the values

0 = 2(2)-3(3)+a

5 = a

Now,

0 = 2(2)+3(3)-b+2

b = 15

3*5 = 3a = b

As a result, b = 3a is the relationship between a and b.