Question

B is the midpoint of ac and d is the midpoint of ce. Sovle for bd given that bd=2y+8 and ae=6y+12

Answer 1

To solve for bd, we set the equation 2y + 8 = 6y + 12 and solve for y. Substituting the value of y back into the equation gives us the value of bd = 6

Step-by-step explanation:

To solve for bd, we need to find the value of y. Given that bd = 2y + 8 and ae = 6y + 12, we can set them equal to each other and solve for y.

2y + 8 = 6y + 12

Subtracting 2y from both sides:

8 = 4y + 12

Subtracting 12 from both sides:

-4 = 4y

Dividing both sides by 4:

-1 = y

Now we can substitute y back into the equation to find bd:

bd = 2y + 8

Substituting y = -1:

bd = 2(-1) + 8

bd = -2 + 8

bd = 6