Answer:
[tex]bd=88[/tex], [tex]bc=27[/tex], [tex]cd=61[/tex]
Step-by-step explanation:
In this problem we have that
[tex]bd=bc+cd[/tex]
we have
[tex]bd=7x-10[/tex]
[tex]bc=4x-29[/tex]
[tex]cd=5x-9[/tex]
substitute the values and solve for x
[tex]7x-10=(4x-29)+(5x-9)[/tex]
Group terms that contain the same variable in the right sides
[tex]7x-10=(4x+5x)+(-29-9)[/tex]
Combine like terms in the right side
[tex]7x-10=9x-38[/tex]
[tex]9x-7x=-10+38[/tex]
[tex]2x=28[/tex]
[tex]x=14[/tex]
Find the value of bd
[tex]bd=7(14)-10=88[/tex]
Find the value of bc
[tex]bc=4(14)-29=27[/tex]
Find the value of cd
[tex]cd=5(14)-9=61[/tex]
