Question

ана
The point of intersection of 5x + y = 10 and x+y=6 -
а) (0,10)
b) (51)
с) (42)
d) (1.5)
оооо
С​

Answer 1

Answer:

,0,1. is the right answer correct

Answer 2

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

Given :

The equation of lines 5x + y = 10 and x + y = 6

To find :

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

а) (0,10)

b) (5, 1)

с) (4, 2)

d) (1, 5)

Solution :

Step 1 of 2 :

Write down the given equations

Here the given equation of lines are

5x + y = 10 - - - - - (1)

x + y = 6 - - - - - - (2)

Step 2 of 2 :

Find point of intersection

For point of intersection we have to find the value of x and y

5x + y = 10 - - - - - (1)

x + y = 6 - - - - - - (2)

Equation 1 - Equation 2 gives

4x = 4

⇒ x = 1

Putting x = 1 in Equation 2 we get

1 + y = 6

⇒ y = 6 - 1

⇒ y = 5

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

Hence the correct option is d) (1, 5)

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