Rachel can make 3 bracelets in an hour. oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets. explain how she can use a system of equations to determine when she will have the same number of bracelets as oliver.

Hence, she will have the same number of bracelets as oliver after 5 hours.

Step-by-step explanation:

Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets.

Let b be the total number of bracelets made.

so the number of bracelets made by Rachel in 'h' hours is: b=3h

and the number of bracelets made by Oliver in 'h' hours is: b=2h+5.

We are asked to find the value of 'h' so that the number of bracelets made by both of them are equal.

i.e.

3h=2h+5

⇒  3h-2h=5

⇒  h=5.

Hence, she will have the same number of bracelets as oliver after 5 hours.

( and they will make b=3×5=15 bracelets )

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2