Question

How do you solve `-5(-2-3k)=-65` using the distributive property?

Answer 1

`k=-5`

Explanation:

`"multiply the terms in the bracket by - 5"`

`rArr10+15k=-65larrcolor(blue)" distributive property"`

`"isolate 15k on the left by subtracting 10 from both sides"`

`cancel(10)cancel(-10)+15k=-65-10`

`rArr15k=-75`

`"divide both sides by 15"`

`(cancel(15) k)/cancel(15)=(-75)/15`

`rArrk=-5`

`color(blue)"As a check"`

#Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=-5(-2+15)=-5xx13=-65=" right"`

`rArrk=-5" is the solution"`