Question

Y=7x-1 and y=2x 0 . Find the coordinates of the point of intersection.

Answer 1

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).