Answer:
x = no solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-2(x + 5) = -2(x - 2) + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: -2x - 10 = -2x + 4 + 5
- Add: -2x - 10 = -2x + 9
- Add 2x on both sides: -10 ≠ 9
Here we see that -10 does not equal 9.
∴ x = no solutions.
It is either in the ones place or the hundred millions place
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.
The student cannot work more than 20 hours each week.
x + y < 20 ...1
15x + 25y > 375 ...2
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
More about the inequality link is given below.
brainly.com/question/19491153
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