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hjlf
3 years ago
13

What is the solution of the system of equations? {13x−6y=2 3x−4y=−10

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
Solve the following system:
{13 x - 6 y = 2 | (equation 1)
{3 x - 4 y = -10 | (equation 2)


Subtract 3/13 × (equation 1) from equation 2:
{13 x - 6 y = 2 | (equation 1)
{0 x - (34 y)/13 = (-136)/13 | (equation 2)


Multiply equation 2 by -13/34:
{13 x - 6 y = 2 | (equation 1)
{0 x+y = 4 | (equation 2)

Add 6 × (equation 2) to equation 1:
{13 x+0 y = 26 | (equation 1)
{0 x+y = 4 | (equation 2)


Divide equation 1 by 13:
{x+0 y = 2 | (equation 1)
{0 x+y = 4 | (equation 2)

Collect results:

Answer:  {x = 2                         {y = 4
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Select the postulate of equality or inequality that is illustrated.
DaniilM [7]

Answer: Transitive Postulate of Inequality (last option)

Explanation:

Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation A \to B \to C. If all we cared about was the first and last cities, then we basically say A \to C taking a shortcut so to speak.

This analogy is useful to describe the transitive property.

The equality version is where if we had a = b and b = c, then a = c.

The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.

In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.

It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.

4 0
4 years ago
What is the estimate of forgive 6in by 4in
NNADVOKAT [17]

Find area of the semi circle.

The diameter is, half of that would be the radius, which is 3.

\frac{\pi \cdot 3^2}{2} = 14.1

Find the area of the rectangle.

6 * 4 =24

Add the two areas together.

24 + 14.1 = 38.1

38.1in^2

6 0
3 years ago
*PLEASE ANSWER!!! , I WILL MARK BRAINLIEST!! , ASAP!!*
tamaranim1 [39]

A country's income distribution is the <em>distribution of total GDP among the total population</em>

<em>hope it helps</em>

5 0
3 years ago
Find the number by which 4732 should be divided to get perfect square.
ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0
4 years ago
Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

8=2y

y=4

Substitute y in [2],

x=y+4

x=4+4

x=8

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,  

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

6 0
3 years ago
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