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
gtnhenbr [62]
3 years ago
15

What is the solution of the system? 5x + 2y = 9 4x - 3y = 44

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
6 0

Hello!

\large\boxed{5, -8}

5x + 2y = 9

4x - 3y = 44

We can eliminate y by multiplying both expressions in order to have the y coefficients equal.

The LCM (least common multiple) of 2 and 3 is 6, so we can multiply each accordingly:

3(5x + 2y = 9)

2(4x - 3y = 44)

Distribute:

15x + 6y = 27

8x - 6y = 88

Cancel using addition:

15x + 6y = 27

8x - 6y = 88

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

23x = 115

Divide:

x = 5.

Plug in this value of x into an equation to solve for y:

5(5) + 2y = 9

25 + 2y = 9

2y = -16

y = -8

The solution of the system is:

(5, -8).

You might be interested in
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
Create an expression that is equivalent to 79.86-17.61
lesya [120]
62.25 + 1 - 1 cause that's just 62.25 + 0 which is 62.25
5 0
3 years ago
Line CH contains points (-2, 6) and H(5, -3) What is the slope of G?
Xelga [282]

Answer:

The slope of line G is \dfrac{- 9}{7}  .

Step-by-step explanation:

Given as :

The points of the line CH contains

C = x_1 ,  y_1 = - 2 , 6

H = x_2 ,  y_2 = 5 , -3

Let The slop of line CH = G

<u>Now, slope of line is </u>

G = \dfrac{y_2 - y_1}{x_2-x_1}

i.e G = \dfrac{- 3 - 6}{5 -(-2)}

Or, G = \dfrac{- 9}{5 +2}

Or,G = \dfrac{- 9}{7}

So, The slope of the line CH = G = \dfrac{- 9}{7}

Hence, The slope of line G is \dfrac{- 9}{7}  . Answer

4 0
3 years ago
use the given conditions to write a system of equations. solve the system and find the numbers. The sum of two numbers is 10. If
ratelena [41]
One of the number is 4 and the other is 6
3 0
3 years ago
Russell's uncle buys a 7.5-pound bag of candy for Russell's birthday party. He puts 1 2 of the candy into a piñata. If Russell g
Amanda [17]

Answer:

7.5/2 = 3.75

3.75/5 = .75

he gets .75 pounds of candy

4 0
3 years ago
Other questions:
  • McKenzie buys 250 shares of stock for $12 a share and pays a 2% commision. She sells the stock 3 years later for $18 a share and
    15·1 answer
  • Pleaseeeeeeee i need this with an explanation
    5·1 answer
  • Evaluate each expression.
    11·1 answer
  • Use the figure from the example to find the length GH. Assume △DEF ≅ △GHJ.
    11·1 answer
  • Least common denominator for 4/11 and 3/8
    7·1 answer
  • What the answer for 11 help me pls
    8·1 answer
  • Can you helps me put them into each category you can just say the first one is blank and so on
    8·1 answer
  • Explain the process to order the rational numbers from greatest to least.
    13·1 answer
  • 1. The ordered of pairs represent some points on the graph of lines m and
    13·1 answer
  • What is the answer to this question x=2y+4 y=x-2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!