Question

3x + 4y = -5;x - y=-4 in graph method
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Answer 1

EXPLANATION.

⇒ 3x + 4y = -5. - - - - - (1).

⇒ x - y = -4. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ 3x + 4y = -5. - - - - - (1).

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

⇒ 3(0) + 4y = -5.

⇒ 4y = -5.

⇒ y = -5/4.

⇒ y = -1.25.

Their Co-ordinates = (0,-1.25).

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

⇒ 3x + 4(0) = -5.

⇒ 3x = -5.

⇒ x = -5/3.

⇒ x = -1.66.

Their Co-ordinates = (-1.66,0).

From equation (2), we get.

⇒ x - y = -4. - - - - - (2).

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

⇒ (0) - y = -4.

⇒ - y = -4.

⇒ y = 4.

Their Co-ordinates = (0,4).

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

⇒ x - (0) = -4.

⇒ x = -4.

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

Both curves intersects at a point = (-3,1).