Question

34. Find the Solution to the given pair of linear equations by graphical method.

x + y = 5

2x ˗ y = 4​

Answer 1

$\huge\green{\mid{\fbox{{Explanation}}\mid}}$

Graph if the pair of linear equation.

→ x + y = 5. - - - - - (1).

→ 2x - y = 4. - - - - - (2).

From equation (1), we get.

→ x + y = 5. - - - - - (1).

Put the value of x = 0 in equation, we get.

→ x + (0) = 5.

→ x = 5

Their Co-ordinates = (5,0)

From equation (2) we get.

→ 2x - y = 4. - - - - - (2).

Put the value of x = 0 in equation, we get.

→ 2(0) - y = 4.

→ -y = 4.

→ y = -4.

Their Co-ordinates = (0,-4).

Put the value of y = 0 in equation, we get.

→ 2x - 0 = 4.

→ 2x = 4.

→ x = 2

Their Co-ordinates = (2,0)

Both curves intersect at a point = (3,2).