All categories

2 years ago

Solve each system of eaquasions x+4y=4 -x+2y=8

Mathematics

2 answers:

bazaltina [42]2 years ago

6 0

X + 4y = 4
-x + 2y = 8

x + 4y - x + 2y = 4 + 8

6y = 12

y = 2

x + 4(2) = 4
x + 8 = 4
x = -4

(x,y)
(-4,2)

Annette [7]2 years ago

6 0

Answer:

(-4, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

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

Step-by-step explanation:

Step 1: Define Systems

x + 4y = 4

-x + 2y = 8

Step 2: Rewrite Systems

x + 4y = 4

[Subtraction Property of Equality] Subtract 4y on both sides: x = 4 - 4y

Step 3: Redefine Systems

x = 4 - 4y

-x + 2y = 8

Step 4: Solve for y

Substitution

Substitute in x: -(4 - 4y) + 2y = 8
[Distributive Property] Distribute negative: -4 + 4y + 2y = 8
Combine like terms: -4 + 6y = 8
[Addition Property of Equality] Add 4 on both sides: 6y = 12
[Division Property of Equality] Divide 6 on both sides: y = 2

Step 5: Solve for x

Define original equation: x + 4y = 4
Substitute in y: x + 4(2) = 4
Multiply: x + 8 = 4
[Subtraction Property of Equality] Subtract 8 on both sides: x = -4

You might be interested in

What is the first quartile value of 16 18 20 14 17 27 33 9 + 12

pochemuha

Answer: 6

Step-by-step explanation:

176282836287262727277336 don’t listen to this answer

3 0

2 years ago

What is the length of a rectangle with width 12 inches and an area of 66 inches^2

sammy [17]

Answer:

The length is 5.5 inches

Step-by-step explanation:

The area of a rectangle is

A = lw

66 = l * 12

Divide each side by 12

66/12 = l

5.5 = l

The length is 5.5 inches

8 0

3 years ago

Read 2 more answers

Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year. Write an equation to model the car’s value. U

Citrus2011 [14]

Answer:

P=P'(1-R/100)^T

Where P = Final price

P'=Initial price

T=Time

R=Rate of Depreciation.

5 0

2 years ago

Given that f(x)= 2x+1 and g(x)= x^2 +2x+1 find (F+g)(2). Find (F.g)(x) find f(x)/g find f(2) +g(-2)?

Pepsi [2]

Answer:

$(f+g)(2) = 14$

$f(g(x)) = 2x^2 + 4x +3$

$\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}$

$f(2) + g(-2) = 6$

Step-by-step explanation:

Function composition and transformation combines functions together using operations such as addition, subtraction, multiplication, division and substitution. To find each, perform the operation with the functions f(x) = 2x+1 and $g(x) = x^2 + 2x +1$ .

(f+g)(x) is the functions f and g added together with 2 substituted for x.

$(f+g)(x) = 2x+1 + x^2 +2x + 1 = x^2 + 4x + 2\\(f+g)(2) = 2^2 + 4(2) + 2 = 14$

(f·g)(x) is function composition that means f(g(x)) or substitute g(x) into f(x).

$f(g(x)) = 2(x^2+2x+1)+1 = 2x^2 + 4x+2 + 1\\f(g(x)) = 2x^2 + 4x +3$

f(x) / g(x) is division of the two functions. Division can only occur with polynomials if they share the same factors or things which multiply to create them. If none are present, do not simplify.

$\frac{f(x)}{g(x)} = \frac{2x+1}{x^2+2x+1}$

This cannot be simplified.

f(2) + g(-2) means find the function value of f at 2 and the function value of g at -2 then add them together.

$f(2)+g(-2) = 2(2)+1 + ((-2)^2+2(-2) + 1)\\f(2) + g(-2) = 5 + (4-4+1)\\f(2) + g(-2) = 5 +1 = 6$

7 0

3 years ago

Read 2 more answers

Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money

Darya [45]

Answer:

Step-by-step explanation:

8weeeks bc 22.50*8=180

4 0

1 year ago

Solve each system of eaquasions x+4y=4 -x+2y=8​

Solve each system of eaquasions x+4y=4 -x+2y=8