Question

Solve for x and y graphically:

2x + y = 6; x + y = 5

Answer 1

Equation 1: 2x + y = 6

⇒ When x = 2

2(2) + y = 6

4 + y = 6

y = 6 − 4

y = 2

⇒ When x = 3

2(3) + y = 6

6 + y = 6

y = 6 − 6

y = 0

⇒ When x = 0

2(0) + y = 6

0 + y = 6

y = 6

x	2	3	0
y	2	0	6

Equation 2: x + y = 5

⇒ When x = 2

2 + y = 5

y = 5 − 2

y = 3

⇒ When x = 5

5 + y = 5

y = 5 − 5

y = 0

⇒ When x = 0

0 + y = 5

y = 5

x	2	5	0
y	3	0	5

Hence the solution is x = 1, y = 4.