Question

If bd = 7x-10, bc = 4x-29, and cd = 5x-9, find each value

Answer 1

Answer:

$bd=88$, $bc=27$, $cd=61$

Step-by-step explanation:

In this problem we have that

$bd=bc+cd$

we have

$bd=7x-10$

$bc=4x-29$

$cd=5x-9$

substitute the values and solve for x

$7x-10=(4x-29)+(5x-9)$

Group terms that contain the same variable in the right sides

$7x-10=(4x+5x)+(-29-9)$

Combine like terms in the right side

$7x-10=9x-38$

$9x-7x=-10+38$

$2x=28$

$x=14$

Find the value of bd

$bd=7(14)-10=88$

Find the value of bc

$bc=4(14)-29=27$

Find the value of cd

$cd=5(14)-9=61$