Question

Plz help me with this one..

Answer 1

Answer:

The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same

The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line

Step-by-step explanation:

The given linear equations are;

3·x - 6·y = 9...(1)

x - 2·y = 3...(2)

The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs

Making 'y' the subject of both equations gives;

For equation (1);

3·x - 6·y = 9

3·x - 9 = 6·y

y = x/2 - 3/2

For equation (2);

x - 2·y = 3

x - 3 = 2·y

y = x/2 - 3/2

We observe that the two equations are the same and will have an infinite number of solutions