Question

If LM= 7x-6, MN= 3x+2, and LN = 8x+11, find x

Answer 1

To find the value of x, we can set up an equation using the given information and solve for x.

Step-by-step explanation:

To find the value of x, we can set up an equation using the given information:

LM + MN = LN

(7x-6) + (3x+2) = 8x+11

Combining like terms on the left side of the equation, we get:

10x - 4 = 8x + 11

Subtracting 8x from both sides, we get:

2x - 4 = 11

Adding 4 to both sides, we get:

2x = 15

Dividing both sides by 2, we get:

x = 7.5

So, the value of x is 7.5