Answer:
Point of intersection is - (x, y) = (1, 2)
Step-by-step explanation:
Given - y=3x-1 y=2x
To find - For each pair of equations draw the lines for each the point of intersection represents the sol.
Proof -
Given that, the two lines are
y = 3x - 1 .........(1)
y = 2x .........(2)
For the intersection point, Compare the two equations (1) and (2)
By comparing, we get
3x - 1 = 2x
⇒3x - 2x - 1 = 0
⇒x - 1 = 0
⇒x = 1
Now,
Put the value of x in equation (1), we get
y = 3(1) - 1
= 3 - 1
= 2
⇒y = 2
∴ we get
Point of intersection is - (x, y) = (1, 2)
The graph is as follows :
