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3 years ago

Elimination to solve the system of equation x-y=5 and x+y=3

1 answer:

3 0

X = 4 , y = -1
Explanation:
solve by elimination ie eliminate x or y from the equations by performing operations on them.
first label the equations , to follow the process.
x - y = 5 ----------------(1)
x+ y = 3 ----------------(2)
If (1) and (2) are added then y will be eliminated.
(1) + (2) gives : 2x = 8 → x = 4
now substitute this value of x into either of the 2 equations and solve for y.
let x = 4 in (1) : 4 - y = 5 → -y = 1 → y = -1
check in (1) : 4-(-1) = 4+1 = 5
check in(2) : 4 - 1 = 3

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Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD

earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

$m \angle ABC = m\angle ABD + m\angle DBC$ (1)

If we know that $m\angle ABC = 40^{\circ}$ , $m\angle ABD = 2\cdot x + 3$ and $m\angle DBC = 4\cdot x + 7$ , then the value of $x$ is:

$(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}$

$6\cdot x +10^{\circ} = 40^{\circ}$

$6\cdot x = 30^{\circ}$

$x = 5$

Then, we check the angles of each section:

Section 1

$m\angle ABD = 2\cdot x + 3$

$m\angle ABD = 13^{\circ}$

Section 2

$m\angle DBC = 4\cdot x + 7$

$m\angle DBC = 27^{\circ}$

6 0

3 years ago

Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.

lidiya [134]

Answer:

Part A: x=3

Part B: 6oz

3x=18

Step-by-step explanation:

Part A-

So, he needs 3 oz for each sandwich.

This gives us 3 for the equation.

The question says that we need an equation for this.

If we need an equation, we could write something like

x=3

There's really not anything else that we could write here.

Part B-

We now have something that we need to write.

He has 18 oz for sandwiches.

Each sandwich needs 3 oz.

So, we can write something like 3x=18

Then we could solve the equation by dividing both sides by 3.

This will leave us with x=6

Hope this works!

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2 years ago

Read 2 more answers

In reading class, Phillip read 38 of a book. Alicia read 58 of the same book.

Otrada [13]

Answer:

phillip

Step-by-step explanation:

because phillip read 38 books and alicia read 1 book 58 time and the reason i picked phillip cause he read different books with more pages and alicia read the same book that probably had a little bit of pages

sorry if it is wrong

5 0

2 years ago

The sum of 5xy and (2xy + xy) is

AleksAgata [21]

8xy that is the answer

4 0

3 years ago

What is 27 times 30 to the power of 2?(“real” question)

tankabanditka [31]

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

5 0

2 years ago