Question

(4x-4) (3x+17)

The lines. intersect at point C. What is the value of X?

Answer 1

For this case we must find the value of "x":

We have that, by definition:

`4x-4 = 3x + 17`

Because they are opposite the vertex.

Then, subtracting
`3x` on both sides we have:

`4x-3x-4 = 3x-3x + 17\\x-4 = 17`

Adding 4 to both sides:

`x = 17 + 4\\x = 21`

So, the value of x is 21

Answer:

`x = 21`

Answer 2

(21, 80)

Explanation:

We have the two lines y = 4x -4 and y = 3x + 17. The point 'C' will be given by the interception of them, as follows:

4x -4 = 3x + 17

Solving for 'x':

x = 21

Now, to find 'y' we have:

y = 4(21) -4 = 80

Therefore, they intercept at: (21, 80)