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ElenaW [278]
4 years ago
8

Solve the equation - 9x – 2y=-12 2x+5y=-11 X= Y=

Mathematics
1 answer:
inysia [295]4 years ago
3 0

Answer:x=2, y=3

Step-by-step explanation:

solving this equation simultaneously

-9x - 2y=-12.............(1)

2x + 5y=-11.. ...........(2)

Using elimination method

Multiply equation 2 by 2 and equation 1 by 5

-45x -10y= -60...........(3)

4x + 10y=-22...............(4)

Subtracting equation 2 from 1

-41x + 0=-82

41x=82

x=82/41

X=2

To find y put x in equation 1

-9x - 2y= -12

-9(2)-2y=-12

-18-2y=-12

-2y=-12+18

-2y=6

Y= 6/2

Y=3

X=2, Y=3

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I need help please
GREYUIT [131]

Answer:

Distance = 5 units

Step-by-step explanation:

The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).

<h2>Solution:</h2>

In order to find the distance between two points, we can use the following distance formula:

\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}

Let (x₁, y₁) =   (1, 5)

     (x₂, y₂) =  (5, 2)

Step 1: Substitute points into the formula:  

\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}

\displaystyle\mathsf{Distance\:(D)= \sqrt{(5\:-1)^2\:+\:(2\:-5)^2}}

Step 2: Subtract the integers in each of the parenthesis under the radical:

\displaystyle\mathsf{Distance\:(D)= \sqrt{(4)^2\:+\:(-3)^2}}

Step 3: Evaluate the powers (exponents):

\displaystyle\mathsf{Distance\:(D)= \sqrt{16\:+\:9}}

Step 4: Add 16 and 9:

\displaystyle\mathsf{Distance\:(D)= \sqrt{25}}

Step 5: Take the square root of 25:

⇒   Distance (D) = 5 units.

<h2>Final Answer:</h2>

Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.

<h3>________________________</h3>

<u><em>Keywords:</em></u>

Distance formula

Two points

____________________________

Learn more about about this topic here:

brainly.com/question/17119550

5 0
3 years ago
-2(x+1)+5x= 3(x+1) - 2
cricket20 [7]

Answer:

no solution

Step-by-step explanation:

-2x - 2 + 5x = 3x + 3 - 2

3x - 2 = 3x + 1

3x = 3x + 3

0 = 3

no solution

6 0
3 years ago
The cost of 5 pounds of apples is $6.45. Which statements can be used to solve for a, the cost of each pound of apples? Check al
natka813 [3]

Answer:

B) To solve, find the cost of 1 pound of apples; write a division equation.

C) The correct equation for this problem is 5a = $6.45. Solve this problem by dividing both sides by 5.

F) Each pound of apples costs $1.29.

5 0
3 years ago
Read 2 more answers
Raj has four times as many pens as Jeev. Together, they have 353535 pens. How many pens does Jeev have?
yanalaym [24]

Answer:

Jeev has 70707 pens

Step-by-step explanation:

353535 = 5x

Raj has 4x, Jeev has x

5 0
3 years ago
Please help -2/5 + 4/5 on a numberline
4vir4ik [10]

Answer:

it will be 2/5

then it should be between 0 and 1

make 5 parts b/w 0 and 1 then the 2 nd one is 2/5.

I think so this is the ans.

8 0
4 years ago
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