Y=mx+b
since the variable that will increase or deacrease is the number of books
then we set it to x
x=number of books
the member fee is constant so
b=10
the amount of money will increase by 5.99 per book so
m=5.99
the total amount of money will be our function since it depends on x
y=total amount of money
y=5.99x+10
total amount of money=5.99(number of books)+membership fee
Answer:
3
Step-by-step explanation:
10x + y = 22 A
2x + y = -2 B
A - B left A - left B = Right A - Right B
10x + y - (2x + y) = 22-(-2)
10x + y -2x -y = 22 + 2
8x = 24
x = 24/8
x = 3
Answer:
19.25
Step-by-step explanation:
5.50 divided by 2= 2.75
2.75 times 7 = 19.25
Answer:
y = 13.8
Step-by-step explanation:
Plug in 7.2 for x in the first equation.
y = 1.5x + 3
y = (1.5)(7.2) + 3
Simplify. First, multiply, then add (following PEMDAS).
y = (1.5)(7.2) + 3
y = (10.8) + 3
y = 13.8
13.8 is your answer for y.
~
Answer:
x = infinite amount of solutions
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
4x - 3y = 1
-8x + 6y = -2
<u>Step 2: Rewrite systems</u>
-8x + 6y = -2
- Add 8x to both sides: 6y = 8x - 2
- Divide 6 on both sides: y = 4/3x - 1/3
<u>Step 3: Redefine systems</u>
4x - 3y = 1
y = 4/3x - 1/3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x - 3(4/3x - 1/3) = 1
- Distribute -3: 4x - 4x + 1 = 1
- Combine like terms: 1 = 1
Here we see that 1 does indeed equal 1.
∴ x = all real numbers/infinite amount of solutions
<u>Step 5: Graph</u>
<em>Check the systems.</em>
We see that the 2 equations are the same line.