Question

if 8 x + 5 Y is equal to 9 and M X + 10 Y is equal to 15 are inconsistent pair of linear equation then find the value of m​

Answer 1

Answer:

HEY DUDE ....✋✋✋

HERE IS YOUR ANSWER...,

M= 16

EXPLANATION:

FROM THE GIVEN DATA ,

8X + 5Y = 9 》》》》》 EQUATION 1

MX + 10Y = 15 》》》》EQUATION 2

WE KNOW THAT FOR INCONSISTENT PAIR,

A1 /A2 = B1 /B2 NOT EQUAL TO C1/C2

HERE A1 = 8 AND A2 = MX

AND B1 = 5 AND B2 = 10

ON APPLYING VALUES,

8/M = 5/10

M= 10 × 8 / 5》》》》M = 16

HOPE IT IS USEFUL....HAVE A GOOD DAY...

PLEASE MARK IT AS BRILLIANT.....

Answer 2

Question:

If 8 x + 5y = 9 and mx + 10y = 15 are inconsistent pair of linear equation then find the value of m.

Answer:

m = 16

Note:

Let a1•x + b1•y + c1 = and a2•x + b2•y + c2 = 0 be a pair of linear equations in two variables , then ;

• They are said to be consistent , if they coincide each other or interest at a single point.

• They are said to be inconsistent , if they are parallel.

• Condition to be coincidence :

a1/a2 = b1/b2 = c1/c2

• Condition to be intersecting :

a1/a2 ≠ b1/b2

• Condition to be parallel :

a1/a2 = b1/b2 ≠ c1/c2

Solution:

The given pair of linear equations are :

8 x + 5y = 9 and mx + 10y = 15.

ie, 8 x + 5y - 9 = 0 and mx + 10y - 15 = 0

Clearly , we have ,

a1 = 8

a2 = m

b1 = 5

b2 = 10

c1 = -9

c2 = -15

Thus,

a1/a2 = 8/m

b1/b2 = 5/10 = 1/2

c1/c2 = -9/-15 = 3/5

We know that ,

The given pair of linear equations will be inconsistent (parallel) if , a1/a2 = b1/b2 ≠ c1/c2

Clearly ,

Here , b1/b2 ≠ c1/c2

Thus,

The only condition for the given pair of linear equations to be inconsistent (parallel) is ;

=> a1/a2 = b1/b2

=> 8/m = 1/2

=> m = 8•2

=> m = 16

Hence,

The required value of m is 16 .