1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
3 years ago
9

Solve the system: 2.5(x−3y)−3=−3x+0.5 3(x+6y)+4=9y+19

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

The value of x and y that satisfy the equations is x = 2 and y = 1

Step-by-step explanation:

Given

2.5(x−3y)−3=−3x+0.5

3(x+6y)+4=9y+19

Required.

Find x and y

We start by opening all brackets

2.5(x−3y)−3=−3x+0.5 becomes

2.5x - 7.5y - 3 = -3x + 0.5

Collect like terms

2.5x + 3x - 7.5y = 3 + 0.5

5.5x - 7.5y = 3.5 ---- Equation 1

In similar vein, 3(x+6y)+4=9y+19 becomes

3x + 18y + 4 = 9y + 19

Collect like terms

3x + 18y - 9y = 19 - 4

3x + 9y = 15

Multiply through by ⅓

⅓ * 3x + ⅓ * 9y = ⅓ * 15

x + 3y = 5

Make x the subject of formula

x = 5 - 3y

Substitute 5 - 3y for x in equation 1

5.5(5 - 3y) - 7.5y = 3.5

27.5 - 16.5y - 7.5y = 3.5

27.5 - 24y = 3.5

Collect like terms

-24y = 3.5 - 27.5

-24y = -24

Divide through by - 24

y = 1

Recall that x = 5 - 3y.

Substitute 1 for y in this equation

x = 5 - 3(1)

x = 5 - 3

x = 2

Hence, x = 2 and y = 1

You might be interested in
Antonio has 15 pennies in his pocket. Five eighths of his coins are pennies how many coins are in his pocket
natima [27]
Antonio has 24 coins in his pocket this is how I found the answer 
(5/8)x=15
x=15/ (5/8)
x=15*(8/5)
x=120/5
x=24
I really hope this helps
5 0
3 years ago
Read 2 more answers
Calcular cuántos números impares hay entre 20 y 50 y calcular su suma​
const2013 [10]

Answer:

<em>La suma de los impares entre 20 y 50 da 875</em>

Step-by-step explanation:

<u>Suma de Progresiones Artiméticas </u>

Una progresión aritmética es aquella en la cual, cada término se obtiene como el anterior mas una cantidad fija llamada diferencia común. El término general de una progresión aritmética es

a_n=a_1+(n-1)r

Donde a_1 es el primer término, n el número de términos y r la diferencia común o radio. La suma de los primeros n términos se calcula como:

\displaystyle S_n=n\frac{a_1+a_n}{2}

En nuestro ejercicio, se deben sumar los números impares entre 20 y 50, se forma la progresión

21, 23, 25, 27, ....49

Sabemos que a_1=21,\ a_n=49,\ r=2

Primero averiguamos cuántos términos son, despejando n del término general

\displaystyle n=\frac{a_n-a_1}{r}+1

\displaystyle n=\frac{49-21}{2}+1

\displaystyle n=25

La progresión tiene 25 términos

Ahora la suma es

\displaystyle S_{25}=25\frac{21+49}{2}

\displaystyle S_{25}=25\frac{70}{2}

S_{25}=875

La suma de los impares entre 20 y 50 da 875

6 0
4 years ago
If you dropped a ball while standing on the surface of Katar, at what rate would it accelerate toward the ground?
alexdok [17]

Answer:

Assuming Katar is on earth; 9.8m/s²

Step-by-step explanation:

9.8m/s² is the standard g at the earth's surface.

3 0
3 years ago
5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
LOOK CLOSELY AT THE ANSWERS!!! PLEASE HELP! WILL BE GIVING BRAINLIEST!
nadya68 [22]

Answer:the correct answer is C


Step-by-step explanation:


a). = m∠ABC = m∠B' C' A'

b). = m∠ABC = m∠C' A' B'

c). = m∠BCA = m∠C' A' B'  

d). = m∠BCA = m∠B' C' A'------------------x-_

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can a rate of 20% be expressed as 1/5? <br><br>TRUE <br>or <br>FALSE
    8·2 answers
  • A jar of mayo is shaped like a cylinder. The radius of the jar is 1.5 I Chen’s and it’s height is 7 inches. The mayo sells for0.
    14·1 answer
  • Classify the expression:
    11·1 answer
  • I will give brainliest!! THERE IS NO OTHER INFORMATION GIVEN!! In ⊙O, chord XY is 8 cm long and is 10 cm from O. What is the rad
    7·2 answers
  • What is an equation in point slope form of the line that passes through (7, 1) and (-3,9)
    11·1 answer
  • Help what’s the answer
    7·1 answer
  • -10x = -210 how would i find this answer?
    6·2 answers
  • Help need it asap<br> 8th grade math
    10·2 answers
  • PLZ help thanks!!!! A shipment of 10 tons of sugar is separated into containers of equal size. If the shipment fills 3 3/4 conta
    9·1 answer
  • Elimination Method: 6x - 4y = -24 and 4x + 5y = -2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!