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
kakasveta [241]
3 years ago
13

What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4​

Mathematics
1 answer:
densk [106]3 years ago
3 0

Answer:

(2, 1)

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2x + y = 5

3x - 2y = 4

<u>Step 2: Rewrite Systems</u>

<em>Manipulate 1st equation</em>

  1. [Subtraction Property of Equality] Subtract 2x on both sides:                      y = 5 - 2x

<u>Step 3: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                         3x - 2(5 - 2x) = 4
  2. [Distributive Property] Distribute -2:                                                                3x - 10 + 4x = 4
  3. [Addition] Combine like terms:                                                                        7x - 10 = 4
  4. [Addition Property of Equality] Add 10 on both sides:                                   7x = 14
  5. [Division Property of Equality] Divide 7 on both sides:                                 x = 2

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [Modified 1st Equation]:                                                           y = 5 - 2(2)
  2. Multiply:                                                                                                             y = 5 - 4
  3. Subtract:                                                                                                            y = 1
You might be interested in
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be neede
Mashutka [201]

Answer:

4 bags

Step-by-step explanation:

50 people = 4 cups

300 people = 24 cups

24 cups ÷ 6 cups a bag = 4 bags

5 0
2 years ago
The length of the rectangle is twice the width. Find the length of the rectangle if the perimeter is 42m.
kompoz [17]

Answer:

28m

Step-by-step explanation:

2x+x=42

3x=42

x=14

However, since the length of the rectangle is twice the width, we'll need to multiply it by 2.

So: 14 times 2=28

8 0
3 years ago
Suppose Aldo borrows $5500 at an interest rate of 9% compounded each year assume that no payments are made on the loan how much
ollegr [7]
11,990

9% of 5500 is 495
(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.
3 0
3 years ago
charmaine purchased a prepaid phone card for $25. Long distance calls cost 6 cents a minute using this card. Charmaine used her
neonofarm [45]

25-23.08=1.92

1.92/0.6=3.2

her call last 3.2minutes

7 0
3 years ago
A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Keiko is mixing 4 cups of concrete to make a stepping stone. She needs 1.5 cups of sand and 2.5 cups of cement mix.
    11·2 answers
  • Change 3/5 to a decimal
    12·2 answers
  • Find the additive inverse (opposite) of 18/23
    8·1 answer
  • Y=5x-1 for x=-4, x=12, x=0, and x=0.5
    10·1 answer
  • to a formula or equation for a specified variable means to rearrange it so that the variable appears alone on one side of the eq
    14·2 answers
  • I need help with this.​
    8·1 answer
  • What is the value of y?<br><br><br> y =
    15·1 answer
  • A type of origami paper comes in 15 cm by 15 cm
    8·1 answer
  • Please help me!!! PLEASE!!!!!!!
    6·1 answer
  • Find the exact length of side a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!