All categories

3 years ago

Solve the following systems: 3x+1=8y, 11y-3x=-11

Mathematics

1 answer:

amid [387]3 years ago

3 0

Answer:

x= -10

y= -4

Step-by-step explanation:

Given data

3x+1=8y----------------1

11y-3x=-11--------------2

rearange

3x-8y=-1------------------1

-3x+11y=-11---------------2

add 1 and 2

3x-8y=-1------------------1

-3x+11y=-11---------------2

0+ 3y= -12

y= -12/3

y= -4

put y= -4 in 2

11y-3x=-11

11(-4)-3x=-11

-44-3x=-11

-44+11=3x

-33= 3x

x= -33/3

x= -10

You might be interested in

What is the value of 3 ^ -3

mestny [16]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

$3^{-3}\\=\frac{1}{3}^{3}\\=\frac{1}{27}$

5 0

3 years ago

The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of

Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

$\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}$

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$

The equation that the model represents is therefore;

The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

#SPJ1

8 0

2 years ago

F(x) = 4x - 9 step by step and put the right anwser so I can read it

butalik [34]

<h2>f = -5</h2><h3></h3><h3>f(x) = 4x - 9</h3><h3>Add 9 to both sides</h3><h3>f(x) + 9 = 4x</h3><h3>Divide x from both sides</h3><h3>f + 9 = 4</h3><h3>Subtract 9 from both sides</h3><h3>f = -5</h3><h3></h3><h3><em>Please let me know if I am wrong.</em></h3>

7 0

3 years ago

How to write 637,853 in words

Nady [450]

Six hundred thirty seven thousand eight hundred fifty three

4 0

3 years ago

Read 2 more answers

When the outliers are removed, how does the mean change? dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 o

Arturiano [62]

Answer: The mean increases by 3

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

The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far
old mean = M = 77
new mean = N = 80

The difference in values is N-M = 80-77 = 3

So that's why the mean increases by 3

5 0

4 years ago

Read 2 more answers