In order to find at what value of the variable x the value of the expression 3 (7x + 4) is greater than the value of the expression (17x + 4) by 17, we will compose and solve a linear equation.
We must subtract 17 from the first expression and equate it to the second.
3 (7x + 4) – 17 = (17x + 4);
Let’s open the brackets in both sides of the equation and get:
3 * 7x + 3 * 4 – 17 = 17x + 4;
21x + 12 – 17 = 17x + 4;
Next, we will group the terms with and without variables in different parts of the equation:
21x – 17x = 4 – 12 + 17;
4x = 9;
x = 9: 4;
x = 2.25.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.