Question

(3) Draw the graphs of 3x - y = 0 and 2x + y = 1 on the same coordinate system. Write the coordinates of their points
of intersection, if they intersect.​

Answer 1

Given Equation

3x - y = 0               (i)

2x + y = 1               (ii)

Now Take (i)eq

3x - y = 0

when y = 0

3x - 0 = 0

3x = 0

x = 0

we Get point  (0,0)

When x = 0

3(0) - y = 0

0 - y = 0

y = 0

We get point (0,0)

Now Take (ii)eq

2x + y = 1

when y = 0

2x + 0 = 1

2x = 1

x = 1/2

We get point (1/2 , 0)

When x = 0

2(0) + y = 1

0 + y = 1

y = 1

We get Point (0,1)

Answer

Point of intersection (0.2,0.6)