Answer:
m = -3, n = 1
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>
3m - n = -10
2m + n = -5
<u>Step 2: Solve for </u><em><u>m</u></em>
<em>Elimination</em>
- Combine equations: 5m = -15
- Divide 5 on both sides: m = -3
<u>Step 3: Solve for </u><em><u>n</u></em>
- Define equation: 3m - n = -10
- Substitute in <em>m</em>: 3(-3) - n = -10
- Multiply: -9 - n = -10
- Add 9 to both sides: -n = -1
- Divide -1 on both sides: n = 1
Answer:
The constant charge for each minute used is $50
Step-by-step explanation:
In order to solve this problem we will need to set two variables up. In this case:
F = constant Fee
R = rate per minute used
So the cost for the month of January is calculated like this:
F+300R=68
and the cost for February is calculated like this:
F+275R=66.5
So no we have a system of equations we can solve simultaneously. This can be solved by using different methods, elimination, substitution, graphically or by using matrices. I will solve this by substitution.
So let's solve the first equation for R:

and let's substitute this first equation into the second equation:

and now we can solve this for F:

We can multiply both sides by 12 so we get:
12F+11(68-F)=798
12F+748-11F=798
F= $50
6x+3y=36
Rewrite in slope-intercept form.
Tap for more steps...
y=−2x+12
Using the slope-intercept form, the y-intercept is 12
.
b=12
Answer:
45 and 39
Step-by-step explanation:
hope this helps