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Solve using the distributive property. Show all Work. 5 - 3y = y + 13 + y

Question:

Solve using the distributive property. Show all Work.

5 - 3y = y + 13 + y

Basic Mathematics:

Basic math is the base of mathematics, which includes the primary operator of mathematics like the addition of two numbers, subtraction of two numbers, a product of two numbers division of numbers, and counting of numbers.

Answer and Explanation:


Write the expression.

{eq}5{\rm{ }} - {\rm{ }}3y{\rm{ }} = {\rm{ }}y{\rm{ }} + {\rm{ }}13{\rm{ }} + {\rm{ }}y {/eq}


Further solve the above expression.

{eq}\begin{align*} 5{\rm{ }} - {\rm{ }}3y{\rm{ }} &= {\rm{ }}2y + 13\\ 5 - 13 &= 2y + 3y\\ 5y &= - 8\\ y &= - \dfrac{8}{5} \end{align*} {/eq}


Thus, the value of {eq}y {/eq} is {eq}- \dfrac{8}{5} {/eq}


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
126K

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