Question

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

Answer 1

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

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`