Answer:
(2, 4)
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
x = -y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: y = 2(-y + 6)
- Distribute 2: y = -2y + 12
- Isolate <em>y</em> terms: 3y = 12
- Isolate <em>y</em>: y = 4
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: x = -y + 6
- Substitute in <em>y</em>: x = -4 + 6
- Add: x = 2
9 (x + 5) the greatest common factor is 9
Alright, lets get started.
Suppose the original square window has the side = x feet
The new window is 3 ft wider and 2 ft higher than the square one.
Means length of the new window will be = 
Width of the new window will be = 
So the area of the new window will be = 
So the area of the new window will be = 
So the area of the new window will be = 
As given in question the area of 30 square feet for the new window, hence
Factoring
x = -8 or x = 3
Side could not be negative hence
side of the original square window will be = 3 feet : Answer
Hope it will help :)
