Answer:
Subsitution
Step-by-step explanation:
We have the equations:
x=2y-1
3x+y=11
The 3 methods of solving systems of equations are:
graphing
substitution
addition/elimination
Graphing involves graphing the two equations and finding their point of intersection, which is the answer
Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers
Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before
Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.
Therefore, substitution is the best method to solve this graph.
hope this helps!
To solve this problem, first we have to figure out how many total rolls Hanna buys.
3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls
108 rolls + 48 rolls = 156 rolls.
Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.
156-8 = 146 rolls
Hanna has 146 rolls left.
Answer:
12x² - 6x + 13
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Set up</u>
(9x² - 4x + 11) + (3x² - 2x + 2)
<u>Step 2: Simplify</u>
- Combine like terms (x²): 12x² - 4x + 11 - 2x + 2
- Combine like terms (x): 12x² - 6x + 11 + 2
- Combine like terms (Z): 12x² - 6x + 13
Yes, because 11 2/3 is rounded to 12. and 2 5/6 is rounded to 3. 12 divided by 3 is 4. 4 2/17 is rounded to 4. 4 =4
The interior triangles are similar, so the following ratio should hold true:
9 x
--- = ------ then x^2=144 and x=12 (answer)
x 16