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Vadim26 [7]
3 years ago
12

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x − 5

y = 11 3x + 2y = 7
Mathematics
2 answers:
tatuchka [14]3 years ago
6 0

In order to use the elimination method, we have to multiply the equation by some number, so that one of the variable has the same coefficient.

For example, multiplying the first equation by 3 and the second by 2 gives the following, equivalent system:

\begin{cases}6x-15y=33\\6x+4y=14\end{cases}

Now, we can subtract the two equations, and we will cancel (eliminate) the x variable:

-19y=19 \iff y=-1

Now that y is known, plug it into one of the equations: for example, if we use the first one we get

2x+5 = 11 \iff 2x = 6 \iff x=3

ddd [48]3 years ago
5 0

Answer:

Multiply first equation by −3 and second equation by 2, solution (3, −1).

Step-by-step explanation:

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Read 2 more answers
Integer greater than 2 and less than 12​
timurjin [86]

Answer:

{3, 4, 5, 6, 7, 8, 9, 10, 11}

Step-by-step explanation:

Let integer be x

x > 2 and x < 12

gives

2 < x < 12

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3 0
3 years ago
The Smith's are building a fence around their rectangular shaped yard. The posts are 2 yards apart. There are 7 posts along the
vovangra [49]

Answer:

Posts: 34

Area:  264 yard²

Step-by-step explanation:

Posts: (7 x 2) + (10 x 2) = 34

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3 0
3 years ago
Casandra is training for a 10 mile race. On the first day of running training she runs 4 miles, each day after that she adds on
ArbitrLikvidat [17]
Let the number of days needed be x.

First day = 4 miles = 3.5 + 0.5
Second day = 3.5 + 0.5(2)
Third day = 3.5 + 0.5(3)

Equation: 3.5 + 0.5x 

<u>Find the number of days needed to run 8 miles:</u>
3.5 + 0.5x = 8
0.5x = 4.5
x = 9
 
Answer: Casandra 8 miles on the <u>9th day</u>.
7 0
3 years ago
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