5(x-2)+7=65-4(5x-8)
We move all terms to the left:
5(x-2)+7-(65-4(5x-8))=0
We multiply parentheses
5x-(65-4(5x-8))-10+7=0
We calculate terms in parentheses: -(65-4(5x-8)), so:
65-4(5x-8)
determiningTheFunctionDomain
-4(5x-8)+65
We multiply parentheses
-20x+32+65
We add all the numbers together, and all the variables
-20x+97
Back to the equation:
-(-20x+97)
We add all the numbers together, and all the variables
5x-(-20x+97)-3=0
We get rid of parentheses
5x+20x-97-3=0
We add all the numbers together, and all the variables
25x-100=0
We move all terms containing x to the left, all other terms to the right
25x=100
x=100/25
x=4
Answer:
-17
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
19 × 2 = 18
18 × 20 = 360
Your answer should be 360 kilometers
Answer:
(-2/3, -23/3)
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>
-4p + q = -5
p - q = 7
<u>Step 2: Rewrite Systems</u>
p - q = 7
- Add <em>q</em> on both sides: p = q + 7
<u>Step 3: Redefine Systems</u>
-4p + q = -5
p = q + 7
<u>Step 4: Solve for </u><em><u>q</u></em>
<em>Substitution</em>
- Substitute in <em>p</em>: -4(q + 7) + q = -5
- Distribute -4: -4q - 28 + q = -5
- Combine like terms: -3q - 28 = -5
- Isolate <em>q </em>term: -3q = 23
- Isolate <em>q</em>: q = -23/3
<u>Step 5: Solve for </u><em><u>p</u></em>
- Define equation: p - q = 7
- Substitute in <em>q</em>: p - (-23/3) = 7
- Simplify: p + 23/3 = 7
- Isolate <em>p</em>: p = -2/3