Question

if the graphs of two linear equations in two variables intersect each other in one point then they have

one solution
no solution
two solutions
infinite solutions

Answer 1

Answer:

One solution

Step-by-step explanation:

If the graphs of two linear equations in two variables intersect each other in

one point then they have  only one solution.

It will be more clear to you when we take a example.

If we have x + y = 9 and x - y = 3.

Then check they have one , two or many solution.

Given :

x + y = 9

x = 9 - y ... ( i )

x - y = 3

x = 3 + y ...( ii )

From ( i ) and ( ii ) we get

9 - y = 3 + y

2 y = 6

y = 3

Now put in ( i ) we get

x = 9 - y

x = 9 - 3

x = 6

We have x = 6 and y = 3.

Now we will check on coordinate plane.

We can see there is intersection and we have only one real value to satisfy given equation.