2x + 3y = 16
3x + 4y = 22

System of Equations

Answers

Answer 1

Answer:

x=2, y=4. (2, 4).

Step-by-step explanation:

2x+3y=16

3x+4y=22

---------------

3(2x+3y)=3(16)

-2(3x+4y)=-2(22)

--------------------------

6x+9y=48

-6x-8y=-44

------------------

y=4

2x+3(4)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2


Related Questions

find the value of given expression

[tex] \sqrt{60 \times 60} [/tex]

Answers

Step-by-step explanation:

it is 3.600 this is my answer

Answer:

√(60×60)=√60²=±60 is your answer

Solve the following system of equations by the method of your choice.
-2x + y = 3
-4x + 2y = -20
a. none of the above
b. infinitely many solutions
c. no solution
d. one solution

Answers

Answer:

c. no solution

Step-by-step explanation:

This system of equations has no solution because when graphed, the lines are parallel to each other. Meaning they will never intersect. Since they will never intersect, there are no solutions.

factor by grouping
3n^3 - 12n^2 + 2n - 8
(show the work pls..)

Answers

Answer:

The answer will be ( n - 4 ) ( 3n² + 2 ).

Step-by-step explanation:

1) Factor out common terms in the first two terms, then in the last two terms.

[tex] {3n}^{2} (n - 4) + 2(n - 4)[/tex]

2) Factor out the common term n - 4.

[tex](n - 4)( {3n}^{2} + 2)[/tex]

Therefor, the answer is ( n - 4 ) ( 3n² + 2 ).

Determine the missing side length:
I will give 25 points for the answer!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]

What's the answer to x^2-6x-8?

Answers

Answer:

0

Step-by-step explanation:

(x-4)(x-2)=0

If any individual factor on the left side of the equation is equal to 0

the entire expression will be equal to 0

Set the first factor equal to 0 and solve

x=4

The final solution is all the values that make

(x-4)(x-2)=0

x=4,2

Find x and y.

x = 18, y = 9
x = 4, y = 9
x = 4, y= 27
x = 9, y = 24

Answers

Answer:

the answer is c hope is helps

The side lengths 7, 10, 16 will form a triangle?

True or False

Answers

Answer:

true that you pretty but, dont date me bc i have a gf

Step-by-step explanation:

Answer:

true( I'm sowwie if this is wrong):(

4. What percent of all computers sold during the entire week

were sold on Friday!

Answers

Answer:

I confused... there are no numbers

What is a king to a god

Answers

Answer:

no-one God is the highest

Step-by-step explanation:

Answer:

No Church In The Wild

Step-by-step explanation:

Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.

Answers

Complete Question:

Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.

Answer:

[tex](a)[/tex] [tex]R' = (-5,-8)[/tex]

[tex](b)[/tex] The distance is 16 units

Step-by-step explanation:

Given

[tex]R = (-5,8)[/tex]

Solving (a): Reflection across x-axis

The rule is:

[tex]R(x,y) ==> R(x,-y)[/tex]

So, the reflection of [tex]R = (-5,8)[/tex] is:

[tex]R' = (-5,-8)[/tex]

Solving (b): The distance between R and R'

Distance (d) is calculated as:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Where:

[tex]R = (-5,8)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]R' = (-5,-8)[/tex] --- [tex](x_2,y_2)[/tex]

This gives:

[tex]d = \sqrt{(-5- -5)^2 + (-8- 8)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (-16)^2}[/tex]

[tex]d = \sqrt{256}[/tex]

[tex]d = 16[/tex]

The distance is 16 units

A jar had 88 coins. 1/3 of the coins were silver. How many coins were gold?​

Answers

Answer:

There are 66 gold coins in the jar

Step-by-step explanation:

Let the number of silver coins = X

Then the number of gold coins = 3X (as there are 1/3 number of silver coins as gold)

Total coins =88

Total coins = silver coins + gold coins

Total coins = X + 3X = 88

Total coins = 4X = 88

X = 88/4

X = 22

No. Of silver coins = 22

No. Of gold coins  = 3X = 3×22

No. Of gold coins = 3X= 66

Check

Total coins = 3X + X = 88

66+22 = 88

88 = 88

Hope it helps...

Have a great day :P

Answer:

Hello There!!

Step-by-step explanation:

Let the number of silver coins be x and gold coins be 3x which add up to 4x. Make an expression and add 88 with 4x so 4x=88

x=22(88÷4).

So x=22[silver coins]

3x=66(22×3) [gold coins]

hope this helps,have a great day!!

~Pinky~

Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?

Answers

Answer:

Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as choosing marbles from a bag.

A compound event would be multiple simple events, such as flipping a coin and rolling a dice.

Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3
please hurry i have 5mins

Answers

Answer: I think its A

Step-by-step explanation:

The given function is  increasing from 1 to ∞. Therefore, option A is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph, the vertex is (1, -2)

For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.

Here, the function is increasing from 1 to infinity.

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ3

2e+46-536+62b=


e=53
b=4

Answers

-136 is your answer

Answer:

-136

Step-by-step explanation:

Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?

Answers

Answer:

1.230 euros

Step-by-step explanation:

De la pregunta anterior se nos dice que:

Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.

Paso 1

Sea el porcentaje de la suma total de dinero = 100%

Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.

Dejemos que el resto esté representado por x

Por eso;

Primera parte + Segunda parte + Tercera parte = 100%

60% + 25% + x = 100%

x = 100% - (60% + 25%)

x = 100% - 85%

x = 15%

Paso 2

¿Cuánto pagó Yolanda la última vez?

La última vez = Tercera parte y esto se calcula como:

15% de 8.200 euros

= 15/100 × 8.200 euros

= 1.230 euros

Yolanda pagó 1.230 euros la última vez.

point B is the image of the point A when A is rotated 90° counterclockwise around the origin

point B must be the same ________ from the origin as point A​

Answers

Answer:

distance

Step-by-step explanation:

Point B must be the same distance from the origin as point A​.

What is Rotation?

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

Given that,

Point B is the image of the point A when A is rotated 90° counterclockwise around the origin.

A point P(x, y) after the rotation of 90°counterclockwise around the origin is P'(-y, x).

So the x coordinate changes to the negative of y coordinate and y coordinate changes to x coordinate.

Distance between P(x, y) from origin (0, 0) is √(x² + y²)

Similarly the distance P'(-y, x) from origin (0, 0) is √((-y)² + x²) = √(x² + y²)

Hence they are at the same distance.

Learn more about Rotation here :

https://brainly.com/question/12091224

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A package of twelve cans of black beans cost $6.84. What is the cost of 5 can of black
beans?
$8.77
$0.57
$2.85
$16.42

Answers

Answer:

$2.85

Step-by-step explanation:

Answer:

0.57

Step-by-step explanation:

no prob

Find the area of the polygon.

Answers

Answer: 72

Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.

Answer:

Solution given:

diagonal 1=AC=6+6=12units

diagonal 2=BD=2+10=12units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(12*12)=12*6=72square units

Area=72square units

The area of a rectangular dance floor is 8 1/4
square yards, and its width is 3 1/2 yards. What is the patio's length in yards
A 54
B 2
C 4:
D 5

Answers

Answer:

2 5/14 yards

Step-by-step explanation:

Area of the rectangular floor = Length * Width

Given

Area = 8 1/4 square yards

width = 3

1/2 yards

Required

Length

Length = Area/width

Length = (8 1/4)/(3 1/2)

Length = 33/4 ÷ 7/2

Length = 33/4 * 2/7

Length = 33/14

length = 2 5/14 yards

This gives the required length

If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?

Answers

Answer:

[tex]25x^{2} -30x+10[/tex]

Step-by-step explanation:

Plug in 5x-3 into f(x) so

[tex](5x-3)^2 + 1 = 25x^2 -30x+10[/tex]

explain rounding up numbers i dont mean only examples but definitions too

Answers

Answer:

Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.

Step-by-step explanation:

In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.

Examples:

[tex]7[/tex]

[tex]7>5[/tex]

[tex]7=10[/tex]

7 rounded up equals 10 because 7 is more near 10 then it is to one.

Round the number 12,371 to the nearest thousand.

This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.

[tex]12,371[/tex]

[tex]3 <5[/tex]

[tex]=12,000[/tex]

Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.

Hope this helps.

19u=2,527. Solve the equation

Answers

Answer:

=133

Step-by-step explanation:

1. Divide both sides of the equation by the same term

19=2527

2. Simplify

If you divide numbers you will get:

=133

And that's the answer

I hope this helps     :)

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

x = 24

Step-by-step explanation:

What I would do is use inverse operation. First do -8 x -3 = 24. Then check your work by doing 24 divided by -3 = -8. So x = 24. I am 100% sure this is correct

Pls mark me brainliest

Which statements are true about the fully simplified product of (b minus 2 c)(negative 3 b + c)? Select two options. The simplified product has 2 terms. The simplified product has 4 terms. The simplified product has a degree of 2. The simplified product has a degree of 4. The simplified product, in standard form, has exactly 2 negative terms.

Answers

Answer:

The answers are C and E

Step-by-step explanation:

Took the test.

Answer: options 3( C) and 5( E) are right.

Step-by-step explanation: edge 2023

9x + 4
*
5x + 20
x = [?]
A
B

Answers

49x

Step-by-step explanation:

Find m 2x
(3x – 10)
D
E
B
mABC=
mZCBD-

Answers

Answer:

x--5

Step-by-step explanation:

2x+ x

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

Help!!
what's 7e-9-3e for e=6? ​

Answers

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

You’re answer is 15. Hope this helps

Mr. Easterling went to the store with $75. He purchased three steaks for $10 each and then
bought a certain number of sacks of potatoes for $4.50 each. Write and solve an inequality to
determine the maximum number of sacks of potations he can purchase.

Answers

The inequality is 4.50x+30 is less than or equal too 75 which means the maximum number of potatoes is 10

SOMEONE PLS HELP ME WITH THIS QUESTIONS PLS!!!!!

Answers

Answer:

a

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

I believe the answer is a as well .
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