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larisa [96]
3 years ago
9

Algebra applications: find the value of x and y​

Mathematics
1 answer:
Inga [223]3 years ago
3 0

Answer : The value of x and y is 8 and 10 respectively.

Step-by-step explanation :

As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.

From the given figure we conclude that:

5x-y+150=180       ...........(1)

5x-y=180-150

5x-y=30      ............(2)

5x+y+130=180       ...........(3)

5x+y=180-130

5x+y=50        ...........(4)

Now we adding equation 2 and 4, we get the value of x.

5x-y+5x+y=30+50

10x=80

x=8

Now we are putting the value of x in 4, we get the value of y.

5x+y=50

5(8)+y=50

y=50-40

y=10

Therefore, the value of x and y is 8 and 10 respectively.

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Levart [38]

Answer:

<em></em>

  • <em>    Variable</em>
  • <em>    Variable expression</em>
  • <em>    Number</em>

Explanation:

A <em>literal equation</em> contains numbers, letters, and signs.

The letters represent variables, the numbers are constants, and the sign express relations, like equal (=), less than (<), and greater than (>).

You use the signs to make equations or inequalities.

Algebra is the use of mathematical rules applied to literal expressions. You can add, subtract, multiply and divide literal, expressions, like in arithmetic,  following some rules.

<em>To rewritte a literal equation in terms of a specific variable</em>, you may need to <em>divide by</em>  <em>another variable, a variable expression, or a number</em>, but never by an inequality sign.

Here you have one example for each case:

<u>1. Dividing by another variable.</u>

     x^2y^5=100\\\\\\ \dfrac{x^2y^5}{y^5}=\dfrac{100}{y^5}\\ \\ \\ x^2=\dfrac{100}{y^5}

<u>  2. Dividing by a variable expression.</u>

      x^2(z^3+y^5)=100\\\\\\ \dfrac{x^2(z^3+y^5)}{(z^3+y^5)}=\dfrac{100}{(z^3+y^5)}\\ \\ \\ x^2=\dfrac{100}{(z^3+y^5)}

<u>3. Dividing by a number:</u>

   

      200x^2=100\\\\\\ \dfrac{200x^2}{200}=\dfrac{100}{200}\\ \\ \\ x^2=\dfrac{100}{200}\\ \\ \\ x^2=0.5

As said above,  you cannot divide by an inequality sign.

8 0
3 years ago
Twice the sum of a number and six decreased by fifteen is the same as eighteen more than the product of five and the number. Fin
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Answer:

-9

Step-by-step explanation:

2(n+6) -15 = 5n+18

2n + 12 - 15 = 5n + 18

2n - 3 = 5n + 18

2n = 5n + 21

-3n = 21

n = -9

4 0
2 years ago
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Which of these figures has rotational symmetry?
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Eliminate 3x+2y=4<br> 8x-3y=-6
laila [671]
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3(3x + 2y= 4)
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2. New lines are
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6. Divide by 6, your Y=2
7. X=0, Y=2
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