Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
13x - 6y = 22
x = y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 13(y + 6) - 6y = 22
- Distribute 13: 13y + 78 - 6y = 22
- Combine like terms: 7y + 78 = 22
- Isolate <em>y</em> term: 7y = -56
- Isolate <em>y</em>: y = -8
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 6
- Substitute in <em>y</em>: x = -8 + 6
- Add: x = -2
Answer:
~4.7%
Step-by-step explanation:
Area of the rectangle: 35*52=1820
Area of 1 small circle: A=πr2=π·32≈28.27433
28.27433*3=84.82299
84.82299/1820=0.04660603846
Therefore, about 4.7%
Answer:
Infinitely many solutions
Step-by-step explanation:
x+y=3
2x+2y=6
x=3-y
2(3-y)+2y=6
6-2y+2y=6
6+0=6
6=6
infinitely many solutions