Question

y=2x+1 and x=2y-5 solve graphically

Answer 1

Dear Student:

y=2x+1

2x-y+1=0...................(1)

x=2y-5

x-2y+5=0..................(2)

multiply with 2

2x-4y+10=0...............(3)

Equation(3)-equation(1)

y=3

put value of y in (1)

x=1

point of intersection is (1,3)

See graph

Answer 2

y = 2x + 1

It is a liner graph (given that the highest exponent of x is 1)

When x = 0, y = 2(0) + 1 = 1 ⇒ coordinate (0, 1)

When x = 1, y = 2(1) + 1 = 3 ⇒ coordinate (1, 3)

x = 2y - 5

rearranging it:

y = 1/2 x + 5/2

It is a liner graph (given that the highest exponent of x is 1)

When x = 0,  y = 1/2 (0) + 5/2 = 5/2  ⇒ coordinate (0, 5/2)

When x = 1, y =  1/2 (1) + 5/2 = 3 ⇒ coordinate (1, 3)

With 2 coordinates each, we can plot the two graph (As shown in the attached)

From the graph, we can observed that the point of intersection is at (1, 3)

Answer: (1, 3)