It would be 15 greater than or equal to 14
Answer:
(0, -3)
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>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
Answer:
15
Step-by-step explanation:
So, leets look at the graph.
We can see that the lines being solved for tecnically make up 180 degrees.
This is because the value of the angles on line m are equal to the value of the angles on line n.
So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.
Lets combine these two equations, and subtract them from 180 degrees to solve for x:
7x-1+6x-5
=
13x-15
Now to solve for x:
13x-15=180
Add 15 to both sides to get 13x alone:
13x=195
Then divide both sides by 13 to get x alone:
x=15
So our value of x is 15!
Hope this helps! :)
Answer:
The number of children's tickets sold was 27
Step-by-step explanation:
Let
x ----> the number of children's tickets sold
y ----> the number of adult's tickets sold
we know that
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A

solve for x



therefore
The number of children's tickets sold was 27