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
boyakko [2]
3 years ago
14

Solve the following system of equations by substitution

Mathematics
2 answers:
denis23 [38]3 years ago
5 0

Answer:

x = -3, y = -1

Step-by-step explanation:

In order to solve an equation using substitution you need to make one of the variables values opposite of one another. For example, 4's opposite would be -4. Moving on, we multiply the bottom equation by -2. That gives us y = -2x -4. We combine like values and the remaing equation is y = -1. Finally, we can insert our value;-1 = x +2. We do inverse operations and we are left with x = -3.

WITCHER [35]3 years ago
3 0

Answer:

(-1, 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  

Equality Properties

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

<u>Algebra I</u>

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

Step-by-step explanation:

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

y = 2x + 3

y = x + 2

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + 3 = x + 2
  2. [Subtraction Property of Equality] Subtract <em>x</em> on both sides:                         x + 3 = 2
  3. [Subtraction Property of Equality] Subtract 3 on both sides:                        x = -1

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

  1. Substitute in <em>x</em> [Original Equation]:                                                                  y = -1 + 2
  2. Add:                                                                                                                    y = 1
You might be interested in
Is 7- y=5x+11 a standard form
koban [17]

Answer:

No.

Step-by-step explanation:

Because standard form is ax+by=c.

6 0
3 years ago
Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter
ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0
3 years ago
Help me please this is math
snow_tiger [21]

Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

7 0
3 years ago
The sum of Ryann and Lori's ages is 96. Lori's age is<br> seven times Ryann's age. How old is Ryann?
Nata [24]

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

5 0
2 years ago
Laura earned $250 on her money market investment over a 2
Komok [63]
the answer is b i’m pretty sure
3 0
3 years ago
Other questions:
  • What is the range the 3rd side of the triangle can be with sides 15 cm and 14 cm?
    13·1 answer
  • Pls help thx!!!!!!!!!
    15·2 answers
  • The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers? There are 4
    9·1 answer
  • -1/2 + ( 3/4 x 4/9)
    15·1 answer
  • Ian brought chocolate And vanilla cupcakes to school for his birthday 75 students decide to take a cupcake and 60% of them fit v
    11·1 answer
  • A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
    12·2 answers
  • Suppose that 45% of all babies in a particluar hospital are boys. If 8 babies born in the hospital are randomly selected, what i
    15·1 answer
  • Please help me i need help :/
    9·1 answer
  • Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi
    6·1 answer
  • You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has th
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!