Question

For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1 what is the y coordinate?

Answer 1

Answer:

2(1)+y=1

2+y=1

y=1-2

y=-1

Step-by-step explanation:

the answer is -1

Answer 2

SOLUTION

GIVEN

For two lines 2x + y = 1 and x – y = 2 if the x coordinate of the common point is 1

TO DETERMINE

The y coordinate

EVALUATION

Here the given equation of the lines are

2x + y = 1 - - - - - - (1)

x – y = 2 - - - - - - - (2)

Equation 1 + Equation 2 gives

3x = 3

⇒ x = 1

From Equation 2 putting the value of x we get

1 - y = 2

⇒ y = 1 - 2

⇒ y = - 1

Hence the common point is ( 1 , - 1 )

x coordinate of the common point is 1

y coordinate of the common point is - 1

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