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3 years ago

X+y=11 x-y=-5 Please anyone help?

Mathematics

2 answers:

Lemur [1.5K]3 years ago

4 0

Answer:

$x=3$

$y=8$

Step-by-step explanation:

The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.

$\left \{ {{x+y=11} \atop {x-y=-5}} \right.$

As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.

$\left \{ {{x+y=11} \atop {x-y=-5}} \right.$

$(x)+(y)+(x)+(-y)=(11)+(-5)$

Simplify,

$2x=6$

Inverse operations,

$x=3$

Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),

$x+y=11\\$

Substitute,

$(3)+y=11$

Inverse operations,

$y=8$

TiliK225 [7]3 years ago

3 0

Answer:

3,8

Step-by-step explanation:

you can use the app photo math. just take a picture and you will get your answer

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4 years ago

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3 years ago

A number cube with faces labeled 1 to 6 is rolled once.

Zepler [3.9K]

Answer:

a) A ∪ B = {2, 4, 5, 6}

b) A ∩ B = {6}

c) $\sf B^c$ = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The listing method of set notation simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is greater than 4.

Therefore, the set of outcomes for event A is {5, 6}.

Event B

The number rolled is even.

Therefore, the set of outcomes for event B is {2, 4, 6}.

Part (a)
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒ A ∩ B = {6}

Part (c)

The complement of event B means everything that is not in B.

$\sf \implies B^c =$ {1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

4 0

1 year ago

What is d if <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3d-2%7D%7B8%7D%20%3D%20-d%2B16%5Cfrac%7B1%7D%7B4%7D" id="TexFormula1" t

Harlamova29_29 [7]

Answer: d=12

Step-by-step explanation:

$\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}$

Multiply both parts of the equation by 8:

$\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\$

Divide both parts of the equation by 11:

$d=12$

8 0

2 years ago

Please help will give medal!!!!

shepuryov [24]

If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
a / sin A = b / sin B = c / sin C

7 0

4 years ago