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Lubov Fominskaja [6]
3 years ago
14

Need help with math...

Mathematics
1 answer:
Vilka [71]3 years ago
3 0
Yes...........................
How?

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What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =
Masteriza [31]

For this case we have the following system of equations:

x-3y = -13\\5x + 7y = 34

From the first equation we clear "x":

x = -13 + 3y

We substitute in the second equation:

5 (-13 + 3y) + 7y = 34

We apply distributive property:

-65 + 15y + 7y = 34

We add similar terms:

-65 + 22y = 34

We add 65 to both sides:

22y = 34 + 65\\22y = 99

We divide between 22 on both sides:

y = \frac {99} {22}\\y = \frac {9} {2}

We look for the value of the variable "x":

x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}

Thus, the solution of the system is:

(x, y): (\frac {1} {2}, \frac {9} {2})

ANswer:

(x, y): (\frac {1} {2}, \frac {9} {2})

5 0
3 years ago
Read 2 more answers
How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

1 × 10000

 =  

   

315

   

10000

Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

315 ÷ 5

   

10000 ÷ 5

 =  

   

63

   

2000

Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

 =  63:2000

That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The difference between John and
ddd [48]

Answer:

$46,130,75 or $43,869.25

Step-by-step explanation:

8 0
3 years ago
Juan and Gloria are comparing the two numbers 354.6 and 354.06. Juan says that 354.06 is equal to 10 x 354.6. Gloria says he is
sveticcg [70]

Answer: I agree with Gloria because 10 times 354.6 is 3546

Step-by-step explanation:

3 0
3 years ago
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Find the equivalent expression of the following: x3 (x2 + 5x + 7)
Kay [80]

The equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

x^3 (x^2 + 5x + 7)

Expand the expression

x^3 * x^2 + x^3 * 5x + x^3 * 7

Evaluate the product

x^5 + 5x^4 + 7x^3

Expand the expression

x^5 + 4x^4 + x^4 + 8x^3 - x^3

Hence, the equivalent expression of x^3 (x^2 + 5x + 7) is x^5 + 4x^4 + x^4 + 8x^3 - x^3

Read more about equivalent expression at:

brainly.com/question/27911936

#SPJ1

3 0
2 years ago
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