In which quadrant does the solution of the system fall x + y = 4 and 2x - y = 2

Solution:

The given system of equations are:

x + y = 4 --- (1)

2x - y = 2 --- (2)

These equations are linear equations that can be solved simultaneously to determine in which quadrant the solution lies.

Adding equations (1) and (2) we get

x + y = 4
2x - y = 2
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3x + 0 = 6

⇒ 3x = 6

⇒ x = 6/2

⇒ x = 3

Substituting the value of x in equation (1) we get

⇒ 3 + y = 4

⇒ y = 4 - 3

⇒ y = 1

The values of x and y ordinates are (3, 1).

The point (3, 1) lies in the first quadrant.

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In which quadrant does the solution of the system fall x + y = 4 and 2x - y = 2

Summary:

The quadrant in which the solution of the system of equations x + y = 4 and 2x - y = 2 lie is the first quadrant.