Question

The point of intersection x+y=6 and 5x+y=10

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The point of intersection 1x+1y=6 and 5x+y+10 is (1,5).

To find the point of intersection of the two lines, we have to solve the two equations and find the values of x and y.

1x+1y=6               Equation1

5x+y=10              Equation2

First, find the value of y from Equation1.

⇒  1x+1y=6

⇒  then,   1y = 6-1x.

Now, substitute the value of y from Equation1 in Equation2.

⇒    5x+y=10.

⇒   Put y = 6-1x.

⇒   5x+(6-1x)=10

⇒   5x+6-1x=10

⇒   4x+6=10

⇒   4x=10-6

⇒   4x=4

⇒   x=1

Since, x=1 Put it in Equation1.

⇒   x+ y= 6

⇒   1+y=6

⇒   y=5

Hence, (1,5) is point of intersection of  1x+1y=6 and 5x+y=10.