Answer:
a. (4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-x + 4y = -8
-5x - 4y = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -6x = -24
- Isolate <em>x</em>: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: -x + 4y = -8
- Substitute in <em>x</em>: -4 + 4y = -8
- Isolate <em>y</em> term: 4y = -4
- Isolate <em>y</em>: y = -1
Answer: y = -6x + 2
m = y_2 - y_1
/ x_2 - x_1
-10 - 8
/ 2 - (-1)
= -18/3 = -6
m (slope) = -6
y = mx + b
y = -6x +b
Find b using (-1,8)
y = -6x +b
8 = -6(-1) + b
8 = 6 + b
-6 -6
2 = b
Final answer: y = -6x + 2
To check using one of the points: (-1,8) or (2,-10)
y = -6x + 2
-10 = -6(2) + 2
-10 = -12 + 2
-10 = -10
This is a true statement.
I think there is a .5 percent chance i added all numbers and divided by 6[the blue marbles]
1) 4, because 4/5 is closer to 4 than it is 3 1/2.
2) 100
3) 5
2x+3=17
subtract 3 from each side
2x+3 -3 = 17 -3
2x = 14
divide by 2 on each side
2x/2 = 14/2
x = 7
