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torisob [31]
3 years ago
5

−6x+2y=−26 ; 8x−8y=24

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

The solution is: x=5, y=2

Step-by-step explanation:

Given equations are:

-6x+2y=-26\ \ \ \ \ Eqn\ 1\\8x-8y=24\ \ \  \ \ \ \ Eqn\ 2\\Multiplying\ equation\ 1\ by\ 4\\4(-6x+2y)=4(-26)\\-24x+8y=-104\ \ \ Eqn\ 3\\Adding\ Eqn\ 2\ and\ Eqn\ 3\\-24x+8y+8x-8y=24-104\\-16x=-80\\dividing\ both\ sides\ by\ -16\\\frac{-16x}{-16}=\frac{-80}{-16}\\x=5\\Putting\ x=5\ in\ equation\ 1\\-6(5)+2y=-26\\-30+2y=-26\\Adding\ 30\ on\ both\ sides\\-30+2y+30=-26+30\\2y=4\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{4}{2}\\y=2

Verification:

8x-8y=24\\Putting\ x=5\ and\ y=2\\8(5)-8(2)=24\\40-16=24\\24=24

The solution is: x=5, y=2

Keywords: Linear Equations, Elimination method

Learn more about linear equations at:

  • brainly.com/question/8805387
  • brainly.com/question/8806598

#LearnwithBrainly

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If a rectangles width is twice as long as its length. If the perimeter is 36in find its length.
Dmitriy789 [7]
Answer of what is the length is 12. if we add all the sides it has to come as 36,so if length=x then width=2x therefore X+X+2X+2X=36 therefore x=6 then width=2x =12.
4 0
3 years ago
If I have (-2, 7) and (6, y) distancia = 10 . How can I find y?
shusha [124]

Answer:

y = 13

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)

d = \sqrt{(6+2)^2+(y-7)^2}, that is

d = \sqrt{8^2+(y-7)^2} = 10

\sqrt{64+(y-7)^2} = 10 ← square both sides

64 + (y - 7)² = 100 ( subtract 64 from both sides )

(y - 7)² = 36 ← take the square root of both sides

y - 7 = 6 ( add 7 to both sides )

y = 13

7 0
3 years ago
Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

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8 0
3 years ago
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slega [8]

Answer:

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Step-by-step explanation:

b = 2g

100% - 20% = 80%

80% ÷ 2 = 40% = 0.4

0.4g = 4 ⇒ g = 4 ÷ 0.4 = 10

b = 2 × 10 = 20

There are 10girls and <em>20 boys</em> study in the class.

8 0
3 years ago
Compare write &lt;&gt;= 18,000g 10kg
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10kg's is greater than 18,000 18,000 < 10kg
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