C. y = 1/2x - 2
<u>Use the slope-intercept form to find the slope and y-intercept</u>
Slope: 1/2
Y-Intercept: -2
Answer:
(2, 5)
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>
y - 3x = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
C bc i am a professor at Yale and it is simplistic............................................................... <span />
Answer: ![6](https://tex.z-dn.net/?f=6)
Step-by-step explanation:
Given the following expression:
![8a-1+0.5b](https://tex.z-dn.net/?f=8a-1%2B0.5b)
You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:
![a=\frac{1}{4}\\\\b=10](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5Cb%3D10)
Then;
![8a-1+0.5b=8(\frac{1}{4})-1+0.5(10)](https://tex.z-dn.net/?f=8a-1%2B0.5b%3D8%28%5Cfrac%7B1%7D%7B4%7D%29-1%2B0.5%2810%29)
Now you must solve the multiplications:
![=\frac{8}{4}-1+5=2-1+5](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%7D%7B4%7D-1%2B5%3D2-1%2B5)
The final step is to add the numbers. Therefore, you get the following answer:
![=6](https://tex.z-dn.net/?f=%3D6)
This is a proper fraction because the numerator is smaller than the denominator, making it proper.
If it were improper the numerator would be larger than the denominator. If it were a mixed fraction there would be a WHOLE number and a fraction, for example 5 1/2.
I hope this helps! <3