Question

Solve, graphically, the following pairs of equation :
2x + y = 23
4x - y = 19

Answer 1

2x + y = 23 ⇒ y = 23 - 2x
The table for y = 23 - 2x is

X	5	10	15
Y	13	3	- 7

Also, we have
4x - y = 19 ⇒ y = 4x - 19
The table for  y = 4x - 19 is

X	3	4	6
Y	- 7	- 3	5

Plotting the points we get the following required graph:

From the above graph, it is clear that the two lines y = 23 - 2x and y = 4x - 19 intersect at the point (7, 9)