Answer:
x = -1
y = 2
Step-by-step explanation:
x + y = 1
y = -x + 1
y = -x + 1 (Multiply this by -1)
y = 3x +5
-y = x - 1
y = 3x +5
0 = 4x + 4
4x = -4
x = -1
x + y = 1
-1 + y = 1
y = 2
Answer:
y + 1 = -1/2(x - 8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Slope Formula: 
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
f(8) = -1 → Coordinate (8, -1)
f(6) = 0 → Coordinate (6, 0)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [SF]:
- Add/Subtract:
- Simplify:
<u>Step 3: Write Function</u>
<em>Substitute into general form.</em>
- Point 1: y + 1 = -1/2(x - 8)
- Point 2: y = -1/2(x - 6)
Answer:
7 apples divided among 5 people
Step-by-step explanation:
Given
Apple shared equally
Portion of each person = 7/5
Required
A possible way that shows how the pies were shared.
Given that 7/5 is the ration of the pie to each individual (Kyle and his friends).
Provided that each individual got equal ration....
The ration can be divided into two
The numerator = 7
The denominator = 5.
The numerator shows the number of things that were shared.
Hence, 7 apples were shared.
The denominator shows the number of people involved.
Hence, 5 people were involved.
So, we can conclude that 7 apples were divided among 5 people.
From option A through D, only option B satisfied this analysis
Answer:
Simplifying
6n + 7 + -2n + -14 = 5n + 1
Reorder the terms:
7 + -14 + 6n + -2n = 5n + 1
Combine like terms: 7 + -14 = -7
-7 + 6n + -2n = 5n + 1
Combine like terms: 6n + -2n = 4n
-7 + 4n = 5n + 1
Reorder the terms:
-7 + 4n = 1 + 5n
Solving
-7 + 4n = 1 + 5n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5n' to each side of the equation.
-7 + 4n + -5n = 1 + 5n + -5n
Combine like terms: 4n + -5n = -1n
-7 + -1n = 1 + 5n + -5n
Combine like terms: 5n + -5n = 0
-7 + -1n = 1 + 0
-7 + -1n = 1
Add '7' to each side of the equation.
-7 + 7 + -1n = 1 + 7
Combine like terms: -7 + 7 = 0
0 + -1n = 1 + 7
-1n = 1 + 7
Combine like terms: 1 + 7 = 8
-1n = 8
Divide each side by '-1'.
n = -8
Simplifying
n = -8
Step-by-step explanation:
