Question

5Х-279=3116 УПРОСТИТЬ УРАВНЕНИЕ,ИСПОЛЬЗУЯ СВОЙСТВА РАВЕНСТВ,РЕШИТЬ

Answer 1

5х - 279=3116

5х=3116+279

5х=3395

х=3395:5

х=679

Answer 2

I can help you with your math problem. Here is the detailed solution:

To solve the equation $5x-279=3116$, we need to use the properties of equality. These are the rules that allow us to manipulate an equation without changing its solution. Some of the properties of equality are:

- Addition property: If $a=b$, then $a+c=b+c$ for any $c$. - Subtraction property: If $a=b$, then $a-c=b-c$ for any $c$. - Multiplication property: If $a=b$, then $ac=bc$ for any $c$. - Division property: If $a=b$, then $\frac{a}{c}=\frac{b}{c}$ for any $c \neq 0$.

Using these properties, we can isolate $x$ on one side of the equation and find its value. Here are the steps:

- Step 1: Add $279$ to both sides of the equation using the addition property. This gives us $5x-279+279=3116+279$, which simplifies to $5x=3395$. - Step 2: Divide both sides of the equation by $5$ using the division property. This gives us $\frac{5x}{5}=\frac{3395}{5}$, which simplifies to $x=679$.

Therefore, the solution of the equation is $x=679$. You can check this by plugging in the value of $x$ into the original equation and verifying that both sides are equal.

I hope this helps you understand how to solve equations using the properties of equality. If you need more help, you can visit some of the websites that explain this topic in more detail. Have a nice day!