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kakasveta [241]
4 years ago
8

Y=5x-2 and 3x-5y=4 using elimination

Mathematics
1 answer:
irakobra [83]4 years ago
3 0

value of x is x=\frac{3}{11} and value of y is y=\frac{-7}{11}

Step-by-step explanation:

We need to solve the system of equations by elimination

y=5x-2\,\,\,(1) \\3x-5y=4\,\,\,(2)

Solving the systems:

Rearranging equation(1)

-5x+y=-2

Multiply equation(1) with 5 and add with equation 2

-25x+5y=-10\\\,\,3x-5y=4\\--------\\-22x=-6\\x=\frac{-6}{-22}\\x=\frac{3}{11}

So, value of x is x=\frac{3}{11}

Now finding value of y

Multiply eq(1) with 3 and eq(2) with 5 and add both equations

-15x+3y=-6\\15x-25y=20\\-------\\-22y=14\\y=\frac{14}{-22}\\y=\frac{-7}{11}

So, value of y is y=\frac{-7}{11}

Keywords: System of Equations

Learn more about System of Equations at:

  • brainly.com/question/13168205
  • brainly.com/question/2115716
  • brainly.com/question/3739260

#learnwithBrainly

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3 years ago
Enter numbers to evaluate ‐13−23.
Nana76 [90]

Answer:

- 13 - 23 = - 13 + (-23)

= -36

- 13 - (- 23) = - 13 + 23

= 10

Step-by-step explanation:

In any order of operation (i.e. addition, subtraction, multiplication, devision) the following rules apply for two values for instance <em>a </em>and <em>b </em>where <em>a > b </em>:

→ <em>If +a and +b then the final sign will be + (positive)</em>

→ <em>If +a and -b then the final sign will be + (positive) since a>b</em>

→ <em>If -a and +b then the final sign will be - (negative) since a>b</em>

→ <em>If -a and -b then the final sign will be - (negative)</em>

In the given question we have two cases.

Case 1:

- 13 - 23 = - 13 + (-23)     <em>→ since it is given that we add a negative value of -23, therefore it keeps its sign (so this would be a negative addition i.e. adding two negative values)</em>

Thus we have:

- 13 - 23 = - 13 + (-23)

= -36

Case 2:

- 13 - (- 23) = - 13 + 23     <em>→ since we stated earlier that - and - gives positive sign (i.e. we subtract two negative values)</em>

Thus we have:

- 13 - (- 23) = - 13 + 23

= 10

<em>So we can see that: </em>

<em>Adding two Negative values gives a Negative value (Case 1)</em>

Subtracting two Negative values gives a Positive value (Case 2)

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3 years ago
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Answer:

B

Explanation:

Exponents outside of the parentheses have to be distributed to all of the terms inside of the parentheses. So, B is equivalent because it is simply just the version that has the exponent distributed.
6 0
3 years ago
The consecutive sides of a quadrilateral have lengths (17 - x), (24 - x), (40 - 3x) and (x + 1). If the quadrilateral is a parre
Sveta_85 [38]

The perimeter is: -5x+82

Step-by-step explanation:

We have to add all the sides to find the perimeter.

Given sides are:

Side\ 1: 17-x\\Side\ 2: 24-x\\Side\ 3: 4-3x\\Side\ 4: x+1

Perimeter is the measurement of outer boundary of a closed geometrical figure.

Let P be the perimeter

Then

P = Side\ 1 + Side\ 2+ Side\ 3+Side\ 4\\P = (17-x) + (24-x) + (40-3x) + (x+1)\\P = 17-x+24-x+40-3x+x+1

Combining like terms

P = -x-x-3x+x+17+24+40+1\\P = -6x+x+82\\P = -5x+82

Hence,

The perimeter is: -5x+82

Keywords: Perimeter, Parallelogram

Learn more about perimeter at:

  • brainly.com/question/3225044
  • brainly.com/question/3227215

#LearnwithBrainly

7 0
3 years ago
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