Question

determine by drawing the graphs whether the following system of linear solutions or not 2x-3y =6, x+y=1

Answer 1

Answer:

It has a  linear solutions.

Step-by-step explanation:

Given :

2 x - 3 y = 6

2 x = 6 + 3 y ....( i )

x + y = 1  

Multiply by 2 we get

2 x + 2 y = 2

2 x = 2 - 2 y ....( ii)

From ( i ) and ( ii ) we get

2 - 2 y = 6 + 3 y

3 y + 2 y = 2 - 6

5 y = - 4

y = - 0.8

Now putting y = - 0.8 in ( i )

2 x = 6 + 3 y

2 x = 6 - 2.4

2 x = 3.6

x = 1.8

Thus we get  x = 1.8 and y = - 0.8

Now we can see on coordinate plane there is intersection point ( 1.8 , - 0.8 ).

Hence it has a linear solution.

Answer 2

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