Question

The pair of equations, x+y-40=0 and x-2y+14=0 represents

Answer 1

Answer:

have unique solutions

Answer 2

Given:

The pair of equations,

x+y-40=0 and x-2y+14=0

To Find:

The pair of equations, x+y-40=0 and x-2y+14=0 represents

Solution:

When two equations are given then,

Two equations have a unique solution when: a1/a1≠ b1/b2

Two equations have no solution when:  a1/a2= b1/b2 ≠c1/c2

Two equations have an infinite solutions when:  a1/a2=b1/b2=c1/c2

According to question

x+y-40=0

x-2y+14=0

a1=1           b1 =1          c1 = 40

a2=1        b2=-2            c2=14

a1/a2 = 1/1

         = 1

b1/b2 = -1/2

c1/c2 = 40/14

       = 20/7

So, we can conclude that a1/a1≠ b1/b2

which means the system of equatio  has unique solution.

Hence, the pair of equations, x+y-40=0 and x-2y+14=0 represents unique solution.