Question

Place the cforect steps in ordder to show how the distibutuve propperty can be used to eliminate the fractions in the equatioin 1/5x+8=1/10+9

Answer 1

See explanation below

Explanation:

In order to get rid of the denominators in the equation:

`(1)/(5) x+8=(1)/(10) +9`

We find the Least Common Denominator for both denominators (5, 10) which is 10, and multiply BOTH sides of the equal sign by 10 as shown below (notice that the factor 10 we introduce multiplies ALL terms inside the parentheses):

`10*((1)/(5) x+8)=10*((1)/(10) +9)\\(10)/(5) x+80=(10)/(10) +90\\2x+80=1+90\\2x=91-80\\2x=11\\x=11/2`