Find the solution of this system of two linear equations using substitution 11x+3y=103 and y =3x+1

1 answer:

8 0

11x+3y=103 and y=3x+1.

11x+3(3x+1)=103 -----> plug in (3x+1) for y in the first equation. You will want to distribute the 3 to the 3x+1 to get something that looks like:

11x+9x+3=103 ------> now you want to combine like terms

20x+3=103 ---> subtract 3 from both sides
20x=100 ----> divide both sides by 20
x=5

y=3(5)+1 ---> I like to plug in this to the equation that already has y isolated. 3*5 is 15, add 1 and you find that y=16.

(5, 16) will be your final answer (:

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During the spring and summer months, the Happy Home Motel sees a rise in travelers. The manager of the motel turned in this repo

Korvikt [17]

Answer:

342

Step-by-step explanation:

Let's see the difference is each successive values:

232 - 217 = 15

252 - 232 = 20

277 - 252 = 25

307 - 277 = 30

As we can see, each month the increase is 5 more than previous months' increase. <em>Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.</em>

Number of visitors in August = Number of Visitors in July + 35 = 307 + 35 = 342

4 0

2 years ago

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What is x for Unknown angle problems with algebra?

yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

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So, all three angles must sum to 90°

Our equation will be: