Answer: x = 11
Step-by-step explanation:
2x+5 = 3x-6
2x-3x = -6-5
-x = -11
x = 11
Double-check:
11*2= 22 11*3=33
22+5 = 27 33-6= 27
Answer:
(3, -6)
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
- Subtraction Property of Equality<u>
</u>
<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>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
9,862,000 in scientific notation is 9.862 × 10^6
5 hours and 40 minutes. 3+2= 5 which make it 5 hours and then 2/3= 4/6= 40/60 which makes it 40 minutes
Repari cost (x) = y = 35.25 x + 40
x = number of hours to repair the car.
Every hour the cost will increase 35.25, becasue 40 is a fixed cost.
if x = 1, repair cost(1) = 35.25 + 40
if x = 2, repair cost (2) = 35.25*2 + 40
if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25
The same thing every time the repair time increases one hour.
Answer: the last option of the list, for every hour of labor, the cost increases by $35.25
