Final answer:
To find the coordinates of the point of intersection, set the two given equations equal to each other and solve for x. Then substitute the value of x into either equation to find the corresponding y-coordinate.
Step-by-step explanation:
To find the coordinates of the point of intersection, we need to set the two given equations equal to each other and solve for x.
So we have:
7x - 1 = 2x
Subtracting 2x from both sides, we get:
5x - 1 = 0
Adding 1 to both sides, we get:
5x = 1
Dividing both sides by 5, we get:
x = 1/5
Now we substitute this value of x into either of the original equations to find the corresponding y-coordinate. Let's use the second equation:
y = 2x = 2(1/5) = 2/5
So the coordinates of the point of intersection are (1/5, 2/5).