9514 1404 393
Answer:
I and II
Step-by-step explanation:
The inequality ...
3x +10 ≥ 2
has solutions ...
3x ≥ -8 . . . . . . . . subtract10
x ≥ -2 2/3 . . . . . divide by 3
Of the answer choices {-1, 3, -11}, the ones that are greater than -2 2/3 are ...
-1, 3 . . . . . . I and II only
Answer:
(5, -5)
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
- <u>
</u>Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x - 3y = 25
5x + 3y = 10
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine two equations: 7x = 35
- [Division Property of Equality] Divide 7 on both sides: x = 5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: 2(5) - 3y = 25
- Multiply: 10 - 3y = 25
- [Subtraction Property of Equality] Subtract 10 on both sides: -3y = 15
- [Division Property of Equality] Divide -3 on both sides: y = -5
5 groups of 3 is 3 groups of 5 or a total of 15