How do you solve #8/(b+10)=4/(2b-7)#?

1 Answer

Answer:

#b=8#

Explanation:

Step 1: cross multiply the two fractions

#8(2b-7)=4(b+10)#

Step 2: Use the distributive property on either side of the equations

#16b-56=4b+40#

Step 3: add #56# to both sides

#16b-56+56=4b+40+56#

#16b=4b+96#

Step 4: Subtract #4b# on both sides of the equation to isolate the variable

#12b=96#

Step 5: divide and simplify

#b=8#