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AVprozaik [17]
3 years ago
14

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 =

(1)/(2), y = (9)/(2)` D. x = –3, y = 7
Mathematics
2 answers:
Masteriza [31]3 years ago
5 0

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})

Anna71 [15]3 years ago
4 0

Answer:

C. X=1/2, Y=9/2

Step-by-step explanation:

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melamori03 [73]

Answer:

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Step-by-step explanation:

Normally when I multiply mixed numbers, I change them to improper fractions first so that it is easier.

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2 years ago
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Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than
ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000   Eqn 1

x = y+850    Eqn 2

Putting Eqn 2 in Eqn 1

(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150

Dividing both sides by 2;

\frac{2y}{2}=\frac{3150}{2}\\y=1575

Putting y=1575 in Eqn 2;

x=1575+850\\x=2425

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11343416
  • brainly.com/question/11416224

#LearnwithBrainly

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2 years ago
The graph of an equation is shown below:
olasank [31]

Answer:

(-2, -3)

Step-by-step explanation:

solutions are all the points where the line intersects

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