The co-rdinates of a point s at which L1is 3y-2x=0 and L3is y=2x+9

Answer 1

To find the coordinates of the point of intersection between L1 and L3, we can set their equations equal to each other:

3y - 2x = y - 9

Combine like terms:

2y - 2x = -9

Rearrange the equation:

2y = 2x - 9

Divide both sides by 2:

y = x - 4.5

Now we have a system of equations:

3y - 2x = 0
y = x - 4.5

To solve this system, we can substitute the second equation into the first equation:

3(x-4.5) - 2x = 0

Distribute:

3x - 13.5 - 2x = 0

Combine like terms:

x - 13.5 = 0

Add 13.5 to both sides:

x = 13.5

Now we can substitute this value back into the second equation to find y:

y = (13.5) - 4.5

y = 9

Therefore, the point of intersection between L1 and L3 is (13.5, 9).