Question

Solve the following system of equations graphically: 4x – 5y + 16 = 0, 2x + y = 6 Determine the vertices of the triangle formed by these lines and the x-axis

Answer 1

wait for the graph plz .............. its k

Answer 2

Answer:

Refer the attached graph below.  

Step-by-step explanation:

Given : Equation - $4x-5y + 16 = 0$ and $2x + y = 6$

To draw : The graph of the given equation and determine the vertices of the triangle formed by these lines and the x-axis.

Solution :

The graph of two equation is drawn.

Refer the attached figure below.

The line of$4x -5y + 16 = 0$ red in color passing through points (0,3.2) and (-4,0).

The line of $2x + y = 6$ blue in color passing through points (0,6) and (3,0).

The intersection of these two lines is at the point (1,4).

The solution of two graph is (1,4).

The vertices of the triangle formed by these lines and the x-axis is (-4,0) and (3,0)