Answer:
I do know that y = 3 and that x = -2, so any system that has that solution is correct.
Step-by-step explanation:
Multiplying the second equation by -2 and adding the equations will cancel out the x variable. The remaining equation is:
10y = 30. Therefore, y must be 3. Substituting y in for the first equation, we get:
6x + 6 = -6. That means x must be -2. I checked my work with the second equation:
-6 - 12 = -18.
The system results in a true statement, so the answer is y = 3 and x = -2.
Answer:
6
Step-by-step explanation:
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The slope of the line is 1.
405 rotations in 5 minutes
Divide
405/5 = 81
81 rotations per minute.
The system of equations is
n + d = 27
n + 5d = 55
Step-by-step explanation:
The given is:
- Kiran has 27 nickels and quarters in his pocket
- They worth a total of $2.75
- We need to write a system of equations to represent the relationships between the number of nickels n, the number of quarters d, and the dollar amount in this situation
∵ The number of nickles is n
∵ The number of quarters is d
∵ There are 27 nickles and quarters
∴ n + d = 27 ⇒ (1)
∵ 1 nickel = 5 cents
∵ 1 quarter = 25 cents
- Multiply n by 5 and d by 25 to find their value
∴ They worth = 5n + 25d
∵ They worth a total of $2.75
- Chang the dollar to cent
∵ 1 dollar = 100 cents
∴ $2.75 = 2.75 × 100 = 275 cents
- Equate their value by 275
∴ 5n + 25d = 275
- Simplify it by divide each term by 5
∴ n + 5d = 55 ⇒ (2)
The system of equations is
n + d = 27
n + 5d = 55
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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