6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2

Answers

Answer 1
Plug in x-2 for y
x + x - 2 = -10
2x = 12, x = 6
The value of x is 6
Answer 2

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4


Related Questions

Kendra washes windows in an office building. She washes 25 2 5 of the windows on Monday. She washes 13 1 3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?

Answers

I think you mean 2/5 and not 25 for Monday and 1/3 and not 13 on Tuesday. So i will solve with the fraction.

Answer: The fraction of the windows remaining  for Kendra to wash=4/15

Step-by-step explanation:

Step 1

The fraction of windows washed on Monday = 2/5

The fraction of windows washed on Tuesday= 1/3

Fraction remaining to be washed = Total windows - Fraction already washed

Step 255

Fraction already washed=2/5 + 1/3 =6+ 5/15 = 11/15

The total numbers of windows in the office will be represented as 1 whole number since we are dealing with fractions such that the

Fraction remaining to be washed = 1- Fraction already washed

= 1- 11/15 = 15/15-11/15= 4/15

Answer:

Step-by-step explanation:

Solve 7x + 2 =4x+11 please i have 100 points to offer

Answers

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

Subtract 4x on both sides:                    3x + 2 = 11Subtract 2 on both sides:                      3x = 9Divide 3 on both sides:                          x = 3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    7(3) + 2 = 4(3) + 11Multiply:                               21 + 2 = 12 + 11Add:                                     23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.

Answers

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?

Answers

30 feet

5”= 10/2
1/2x10= 10/2 so you have to times 3 by 10 to get the answer 3x10=30’

Scale drawings are used to represent a large drawing using smaller measurements

The equivalent of 5" in the drawing is 30' i.e. 30 feet

The scale is given as:

[tex]\mathbf{\frac 12" = 3'}[/tex]

A single quote means feet, while a double quote means inches

So, the scale can be rewritten as:

[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]

Multiply both sides by 10

[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]

Simplify

[tex]\mathbf{5\ inches = 30\ feet }[/tex]

Rewrite as:

[tex]\mathbf{5" = 30'}[/tex]

Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet

Read more about scale drawings at:

https://brainly.com/question/22627686


Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41 is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?​

Answers

Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

whats -33 + -20 , show how you can describe it.”

Answers

Step-by-step explanation:

-33 + -20 is -53. and I don't how

Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Answers

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).

What is the output of the function when the input is −3?

Answers

I think -1.5 because the line passes through-1.5

ABCD ~ EFGH
B
G
3
140°
F
4.5
2
у
50°
110°
Z
A
х
D
E
24 H
z = [?]°

Answers

Answer:

[tex]z = 110°[/tex]

Final answer

You have $50 in your wallet at the mall and buy a new pair of jeans and now you only have $16 in your wallet how much did the jeans cost

Answers

The pair of jeans cost $34

What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?

Answers

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Determine the value of −14.1 × (-7.33)

Answers

Answer:

Multiply -14.1 by -7.33.103.353     ?

Step-by-step explanation:

Sorry I'm not very good at math hope this helps..

Find the difference.
60°
30°
40"
50"
40

Answers

40 doesnt end with the circle

a= 1/2bh
b= 12in
a= 54^2in

Answers

Answer:

h=9

Step-by-step explanation:

54=1/2(12)h

54=6h

9=h

5x-7=3 whats the answer

Answers

Answer:

x=2

Step-by-step explanation:

5x-7=3

Add 7 to each side

5x - 7+7 = 3+7

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x-7=3

Move the 7 from the left side. So you'll add it to both sides

5x-7(+7)=3(+7)

Making your formula

5x=10

Then divide 5x on both sides

Since 5x divided by itself is one it's just x

10 divided by 5 is 2

So the answer is x = 2

Assuming no denominator equals zero, which expression is equivalent to the given expression?
r-5/9r/5-r/3r^2
A.
-3/r
B.
r/3
C.
-r/3
D.
r-5/5-3r

Answers

Answer: C. -r/3

Step-by-step explanation: I got a 100% with that as my answer. I hope it helps.

HURRY WILL MARK YOU BRAINLIEST RIGHT ANSWER ONLY

Answers

Answer:

Answer is 10

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

you have to use a^2 + b^2 = c^2

so 12^2 + 16^2 = 144 + 256 = 400

square root of 400 is 20

IMPORTANT!!!


Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x

5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4

Answers

C & A I believe because 2+3 is 5 so that’s 5x

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3-2-1 Which of the following completes the rule for this translation, (x, y) = (x - 8, points) ? (4 O y-6 Oy-3 O y + 6 O'y+3

need help asap please ​

Answers

Answer: y+3

Step-by-step explanation: I'm taking the test rn

Answer:

y + 3

Step-by-step explanation:

I took the test and got it right.

In a collection of dimes and nickels, the number of dimes is five less than three times the number of nickels. The value of the collection is $5.80.Let D represent the number of dimes and N represent the number of nickels. You need to know how many of each type of coin there is. Make "LET" statements and write a system of equations to model this situation. Check your answers.

Answers

Answer:

D= 3N-5

0.10D+0.05N=5.80

Step-by-step explanation:

So, Let D represents the number of dimes

N represents the number of nickels.

For the given statement "The number of dimes is 5 less than 3 times the N"

So, we could set up equation as

D=3N-5

Now, for the statement "The value of collection is $5.80"

So, we can set up equation for this as (please remember 1 dime is same as $0.10 and 1 nickel is same as $0.05)

0.10D+0.05N=5.80

The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )

Answers

Answer:

The slope is 7/5

Step-by-step explanation:

Here, we want to find the slope of the line

We use the slope equation

m = (y2-y1)/(x2-x1)

m = (35-70)/(25-50) = -35/-25 = 7/5

what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5

Or simply put

To form a purple color, add 7 part red to 5 parts blue drops

I am doing a percent equation problem and I need help please here’s the question 20% of blank =10

Answers

Answer:

[tex]50[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] blank (for convenience)

[tex]20\%x=10[/tex]

[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)

[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)

[tex]x=50[/tex]

∴ Blank = 50

Hope this helps :)

Need Help with this!

Answers

Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%

Write the ratio as a fraction in simplest form.
14 feet to 8 yards

Answers

Answer:

1 inch-8  lot of math make me brainliest

Step-by-step explanation:

3ft-8yd

or 36 in- 288in

18-144

9-72

3-24

Cual es la respuesta


Alguien que me ayude

Answers

Answer:

yes because it goes through the origin and has a constant rate is the correct answer hope it helps you :)

Which graph represents a nonlinear function?​

Answers

Answer:

It's the second one :) I think?

it’s the second one, nonlinear functions are curved, linear functions are straight.

Writing Linear Equations from Key Information slope = 3, y-intercept = −1

Answers

Answer:

y =  3x - 1

Step-by-step explanation:

I NED HELP lol
A store decreased the price of all its jeans by 20%. If Tara bought a pair of jeans for $50, what was the original price?
Group of answer choices

$40.00

$62.50

$70.00

$60.00

Answers

Answer:

the answer is 60 dollars.

Answer:  Choice B)  $62.50

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

Work Shown:

x = original price

20% = 20/100 = 0.20

20% of x = 0.20x = discount

x - 0.20x = 0.80x = final price

0.80x = 50

x = 50/0.80

x = 62.50

The original price of the jeans was $62.50

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

Note how,

20% of x = 0.20*x = 0.20*62.50 = 12.50

Tara saves $12.50 (this is the discount).

The price she pays is x - 0.20x = 62.50 - 12.50 = 50 dollars, which matches with what your teacher gave in the instructions. This confirms we have the correct original price.

Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67

Answers

Answer: The point (5,7) is on the line 5x+6y = 67

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

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

Edward deposited $6,500 into a savings account 4 years ago. The simple interest rate is 5%. How
much money did Edward earn in interest?
Substitute the values into the equation.
Interest=$• • years
Edward earned $ in interest.

Answers

Answer:

Edward earned $1300 interest in 4 years.

Step-by-step explanation:

Principal Amount = Initial Investment = $6500

Time t = 4 years

Interest rate r = 5% = 0.05 (it is taken in decimal i.e 5/100 = 0.05)

We need to find interest.

The formula used is: [tex]Interest= Principal\times r \times t[/tex]

Putting values and finding Interest

[tex]Interest= Principal\times r \times t\\Interest=6500\times 0.05 \times 4\\Interest= 1300[/tex]

So, the interest = $1300 in 4 years.

Edward earned $1300 interest in 4 years.

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