Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)
which can be rearranged as 
.
Substituting this lone y into the first equation, you get:
Move everything to one side:
Factor:
2)
which can be rearranged as 
.
Let's use elimination this time and subtract the first equation from the second:
Factor:
3)
Let's set the two equations equal to each other through substitution:
Move everything to one side:
Factor:
Hope this helps!
9514 1404 393
Answer:
$6,106.87
Step-by-step explanation:
The total of percentage deductions is ...
state tax + city tax + social security + medicare
= 3.5% +2.5% +6.2% +1.45% = 13.65%
Then Ryleigh's take-home pay is ...
gross(1 -13.65%) -112 = 5161.28
gross = (5161.28 +112)/0.8635 = 6106.87
Ryleigh's monthly gross is $6,106.87.
They need to sell 33, unless you round it up then 34.
I think associative, because it is the same thing in a different order.
Answer:
(0, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
