Question

Show graphically that the system of equations 2x+3y=10 and 4x+6y=12 has no solution

Answer 1

Step-by-step explanation:

Now , 2x+3y=10 =x= 10−3y2

When y=0, then x=5

When y=2 , then x= 2Thus, we have the following table giving points on the line 2x+3y =10

X 5 2

Y 0 2

Graph of the equation x-2y =5 and 2x+3y =10

2

Clearly, two lines intersect at a point P (5,0)

Hence x= 5 and y = 0