Answer:
y = -31/5
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
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x - 7
5x + 2 = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Define equation: 5x + 2 = 4
- Subtract 2 on both sides; 5x = 2
- Divide 5 on both sides: x = 2/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x - 7
- Substitute in <em>x</em>: y = 2(2/5) - 7
- Multiply: y = 4/5 - 7
- Subtract: y = -31/5
Answer:
In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Step-by-step explanation:
<h3>
Answer: The simplified form is
.</h3>
Step-by-step explanation:
Given expression .
Let is factor second denominator first.
Factoring out GCF x we get
Rewriting the equation
Now, we need to find the lowest common denominator of x and x(x+1).
The lowest common denominator of x and x(x+1) is x(x+1).
So, we need to multiply first fraction by (x+1) in top and bottom to get lowest common denominator x(x+1) under first fraction.
We got denominators same.
Therefore, subtracting numerators, we get
.
Therefore, simplified form is .
The sum of an arithmetic series:
The sum of the series is
390.