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3 years ago

With instructions too please

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer on pic above

Hope this helps

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Solve the system of equation below x+y+z=2 x-y+5z=6

mamaluj [8]

X + y + z = 2
x - y + 5z = 6

cancelando +y com -y:

x + z = 2*(-5)
x + 5z = 6

-5x -5z = -10
...x +5z = 6
---------------------
-4x = -4 *(-1)
4x = 4
x = 4/4
x = 1

x + z = 2
1 + z = 2
z = 2 - 1
z = 1

x + y + z = 2
1 + y + 1 = 2
2 + y = 2
y = 2 - 2
y = 0

S: {x, y, z} = {1, 0, 1}

8 0

3 years ago

Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do the

Neko [114]

Alright, lets get started.

Suppose number of books Jim have = x

Sam has twice as many books as Jim. So,

Number of books Sam have = 2x

If Sam gives 12 books to Jim, they will have the same number of books.

When Sam gives 12 books, his remaining books will be $= 2x - 12$

When Jim gets 12 books from Sam, his books will be $= x + 12$

And as per given question, they both now have equal books, so

$2x - 12 = x + 12$

Adding 12 in both sides

$2x - 12 + 12 = x + 12 + 12$

$2x = x + 24$

Subtracting x from both sides

$2x - x = x + 24 - x$

$x = 24$

It means Jim has number of books = 24

So, Sam has numberof books = $24 * 2 = 48$

So, they have number of books together = $24 + 48 = 72$ : Answer

Hope it will help :)

5 0

3 years ago

Read 2 more answers

How do i solve for interests?

Kipish [7]

I think you add the numbers together.

3 0

3 years ago

For the following right triangles:

CaHeK987 [17]

Let us first define Hypotenuse Leg (HL) congruence theorem:

<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>

Given ACB and DFE are right triangles.

To prove ΔACB ≅ ΔDFE:

In ΔACB and ΔDFE,

AC ≅ DF (one side)

∠ACB ≅ ∠DFE (right angles)

AB ≅ DE (hypotenuse)

∴ ΔACB ≅ ΔDFE by HL theorem.

6 0

3 years ago

Why do we use coordinate planes to do<br> transformations and dilations?

gogolik [260]

Answer: a coordinate plane is used in order to track the location of the object.

Translations are congruence transformations that move an object, without changing its size or shape

Dilations are transformations that generate an enlargement

Step-by-step explanation:

7 0

3 years ago