What is the solution to the system of equations?
2 answers:
Answer:
(-2, 10)
Step-by-step explanation:
Our equations are:
-6x - y = 8
x + 3y = 29
Let's multiply the second equation by 12:
12 * (x + 3y) = 12 * 29
6x + 36y = 348
Now, add this new equation to the first equation:
6x + 36y = 348
+ -6x - y = 8
_______________
(36 - 2/5)y = 356
36 - 2/5 = 180/5 - 2/5 = 178/5
Divide both sides by 178/5:
y = 356 / (178/5) = 356 * (5/178) = 10
Plug this back into one of the original equations to get x:
(1/2)x + 3y = 29
(1/2)x + 3 * 10 = 29
(1/2)x = -1
x = -2
The answer is (-2, 10).
Hope this helps!
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Answer:
Option B - The income earned in one month is $5.50.
Step-by-step explanation:
Given : At River Bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge.
To find : The income earned in one month on the checking account for a customer with an account balance of $1,000.
Solution :
Account balance of customer= $ 1,000
Interest earned in checking account= 0.75%
Financial charge= $2.00
Therefore, Income earned in one month on the checking account is given by 0.75% of 1,000 - $2
i.e,
So, Option B is correct.
The income earned in one month is $5.50.