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Anna007 [38]
3 years ago
6

I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number

and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
4 years ago
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
RUDIKE [14]

Answer:

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6 0
3 years ago
Please Help Meeee! Its a multiple answers..​
Lelechka [254]

Answer:

B C E

Step-by-step explanation:

trust me... its too hard to explain

3 0
3 years ago
I=$720, P=$1000, r=9%
UNO [17]
I = PRT

720 = (1,000)(0.09)(t)
720 = 90(t)
720/90 = t
8 = t  or t = 8

I am not sure if it is terms  of months or years but 8 is the answer. hope it helps :)
7 0
3 years ago
Read 2 more answers
determine if the ordered pair is a solution of the equation is (2 4) a solution of y = -3× - 2? true or false​
vesna_86 [32]

Answer:

False

Step-by-step explanation:

y = -3× - 2

4 = -3(2) - 2

4 = -6 - 2

4 = -8

4 0
3 years ago
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