![\frac{2}{3} -\frac{1}{2} = \frac{4}{y} -\frac{x}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20-%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7By%7D%20-%5Cfrac%7Bx%7D%7B6%7D)
So, we need to convert the fractions into equivent ones.
So, in order to get the numerator of the first fraction to match the numerator of the second fraction, we must mutltiply it by 2/2
![\frac{2}{3}\times\frac{2}{2}=\frac{4}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%5Cfrac%7B2%7D%7B2%7D%3D%5Cfrac%7B4%7D%7B6%7D)
Your first answer is 6.
Then, in order to get the denominator of second fraction to match the other side, you must multiply by 3/3
![\frac{1}{2}\times\frac{3}{3} =\frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5Cfrac%7B3%7D%7B3%7D%20%3D%5Cfrac%7B3%7D%7B6%7D)
Your second answer is 3
Answer:
1/2 if it's a probability question of getting one blue pen But there's also very little information on the question
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Answer:
(-4, -8)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4