Question

Draw the graph of 6x + 5y = 37 , 4x + 7y = 21 and x - y + 3 = 0

Answer 1

Given:

The equations 6x + 5y = 37 , 4x + 7y = 21 and x - y + 3 = 0

To find:

Draw the graph of 6x + 5y = 37 , 4x + 7y = 21 and x - y + 3 = 0

Solution:

From given, we have,

The equations 6x + 5y = 37 , 4x + 7y = 21 and x - y + 3 = 0

Consider the attached figure

Now consider,

6x + 5y = 37

put x = 0

5y = 37

y = 37/5

put y = 0

6x = 37

x = 37/6

Now consider,

4x + 7y = 21

put y = 0

4x = 21

x = 21/4

put x = 0

7y = 21

y = 3

and now consider,

x - y + 3 = 0

put y = 0

x = - 3

put x = 0

y = -3