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yanalaym [24]
2 years ago
11

Solve the systems using substitution. 1.6x + 2y = -2 4x + y = 1

Mathematics
1 answer:
Schach [20]2 years ago
6 0
\begin{array}{ccc}(1)\\(2)\end{array}\ \left\{\begin{array}{ccc}6x+2y=-2\\4x+y=1\end{array}\right\\\\4x+y=1\ \ \ |subtract\ 4x\ from\ both\ sides\\y=1-4x\\\\subtitute\ y=1-4x\ to\ (1):\\\\6x+2(1-4x)=-2\\6x+2\cdot1+2\cdot(-4x)=-2\\6x+2-8x=-2\\-2x+2=-2\ \ \ \ |subtract\ 2\ from\ both\ sides\\-2x=-4\ \ \ |divide\ both\ sides\ by\ (-2)\\\boxed{x=2}\\\\subtitute\ the\ value\ of\ x\ to\ the\ y=1-4x:\\\\y=1-4\cdot2\\y=1-8\\\boxed{y=-7}\\\\Answer:  \left\{\begin{array}{ccc}x=2\\y=-7\end{array}\right
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1-6n=-n+16 what dose n equal to?
Setler [38]

Answer:

-3

Step-by-step explanation:

1 - 6n = -n + 16

1 - 5n = 16

-5n = 15

n = -3

7 0
2 years ago
Find the different between compound interest payable anually and half anually for a amount Rs14000 at the rate of 12•\•per annum
Ostrovityanka [42]

Answer:

$113.08

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

14,000(1.12)^2 =  17,561.60

14,000 ( 1 + 0.12/2)^(2x2) = 17674.68

Difference :  17674.68 -   17,561.60 = $113.08

8 0
2 years ago
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below th
julsineya [31]

We can express Benjamin's age with x, we can express Luca's age as y.

x-6=2y

So, if x=12

2y=6

y=3

Therfore, Lucas is 3 years old

3 0
2 years ago
How much do 15 DVDs cost at the store with the lowest unit price?
stepan [7]

Answer:

Total cost= $141.75

Step-by-step explanation:

Giving the following information:

Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

<u>First, we need to determine the unitary price of each and choose the lowest one:</u>

Bernie= 56.7/6= $9.45

Greg= 99.7/10= $9.7

Stan= 79.68/8= $9.96

The lowest price is $9.45.

<u>Now, the total cost of 15 DVDs:</u>

Total cost= 9.45*15

Total cost= $141.75

3 0
2 years ago
Read 2 more answers
. Greg has a school debt of $9 875. He wants to make biweekly payments and pay off the loan in 4 years. If the interest rate is
galina1969 [7]
They would be approximately $15,553.12.
7 0
3 years ago
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