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Mice21 [21]
3 years ago
11

X+2y=3 3x-2y=5 What is the solution to system of equations?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
7 0

Answer:

x+2y=3;3x-2y=5  

Solution :

{x,y} = {2,1/2}  

 

System of Linear Equations entered :

  [1]    x + 2y = 3

  [2]    3x - 2y = 5

Graphic Representation of the Equations :

   2y + x = 3        -2y + 3x = 5  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -2y + 3

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+3) - 2y = 5

  [2]     - 8y = -4

// Solve equation [2] for the variable  y  

  [2]    8y = 4  

  [2]    y = 1/2  

// By now we know this much :

   x = -2y+3

   y = 1/2

// Use the  y  value to solve for  x  

   x = -2(1/2)+3 = 2  

Solution :

{x,y} = {2,1/2}  

  Processing ends successfully  

Step-by-step explanation:

e-lub [12.9K]3 years ago
4 0

Answer:

x=2, y=1/2

Step-by-step explanation:

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0
antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
A 20-foot ladder is leaning on a
Gwar [14]

Answer:

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Step-by-step explanation:

Depending on what grade you are in, you might know the Pythagorean theorem, whose equation is a^2+b^2=C^2 The measurement of the leaning ladder (20ft) is the hypotenuse of the right triangle, the distance from the bottom of the ladder to the building is the leg length (12ft). With this information we know the "c" of the equation, and the "b" or "a" of the equation. If we plug in the number for the letter the equation will look like this:  

12^2+b=20^2. 20 to the second power is 400, and 12 to the second power is 144. You can use the subtraction property of equality and get b^2=256. Use can use a calculator for this part. The square root of 256 is 16, which leaves the equation with b=16

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3 years ago
Evaluate The diagram below.<br> Given: straight lines AD and CE.<br> HELP ASAP‼️‼️
jenyasd209 [6]

Answer:

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Step-by-step explanation:

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xxTIMURxx [149]

Answer:

Step-by-step explanation:

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