A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
7x +y = 33
-7x + 6y = -47

Answers

Answer 1

Answer:

x=5 and y=-2

Step-by-step explanation:

The given system of equations are :

7x +y = 33  ....(1)

-7x + 6y = -47 ....(2)

We need to find the solution of the given equations.

Adding equation (1) and (2) we get :

7x +y + (-7x) +6y = 33+(-47)

7y = -14

y = -2

Put the value of y in equation (1).

7x +(-2) = 33

7x-2=33

7x=33+2

7x = 35

x = 5

Hence, the solution of the above equations are x=5 and y=-2


Related Questions


Tony bought 8 books about plants and 3
books about fish. He also bought 7
science magazines. Each book cost $6
and each magazine cost $5. How much
did Tony spend in all?

Answers

Answer:

Tony spent $101.

Step-by-step explanation:

11*6 = 66

7*5 = 35

66+35 = 101

4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
-4 8/11
4 7/9
4.709

Answers

-4.79, -4 8/11, 4.709, 4 7/9

what is the value of the function y = 3/4x - 5 for x = -4

Answers

Answer:

y= 5.33333

Step-by-step explanation:

i think this is right DON'T MARK BRAILIST

If f(x) = 3x – 7 and g(x) = x2 – 5x + 5, then f(x) = g(x) for
what values of x?
a. x = 3 and x = 4
b. X = 6 and x = 2
c. x = -6 and x = -2
d. x = -3 and x = -4

Answers

Answer:

b

Step-by-step explanation:

3x - 7 = x² - 5x + 5

x² - 5x + 5 - 3x + 7 = 0

x² - 8x + 12 = 0

(x-6)(x-2)=0

x = 6

x = 2

Tell if it’s linear or not, plz help it has a timer :(

Answers

Answer:

Only B is linear

Step-by-step explanation:

What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm​

Answers

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Circumference Formula: C = 2πr

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Substitute [CF]:                    C = 2π(10 cm)Multiply:                                C = 20π cmMultiply:                                C = 62.8 cm

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Help! Anyone??

The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.

a. Find and interpret the slope.

b. Interpret the slope.

Answers

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

True or false? 3a+15b is divisible by 3 for any values of a and b.

Answers

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sample will be (a) 50%. (b) 60%. (c) 70%.

Answers

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150

If you traveled 2,500 meters over the weekend, how many kilometers is that?

Answers

Answer:

25 kilometers

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?

Answers

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

BE FAST IM TIMED
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

A 0–4
B 1–5
C 00–75
D 01–75

Answers

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

Pls help me I will Brianlest

Answers

Answer:

$4400

Step-by-step explanation:

Total earnings = $1038

Base salary = $675

What part of the total earnings was from the commission?

$1038 - $675 = $363

She made $363 in commissions.

The commissions are 8.75% of the sales.

Let sales = x.

8.25% of x = $363

0.0825x = 363

Divide both sides by 0.0825

x = 4400

Answer: Her sales were $4400


I don’t know how to do this.

Answers

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

200-3.5 x 2.8 what is the product?

Answers

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

Sarah bought 4 pens for $1.00. How many did she pay for each pen?

Answers

Answer:

Sarah paid 25 cents for each individual pen

Step-by-step explanation:

Answer:

she paid .25 cents for each

Step-by-step explanation:

1.00÷4=.25

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function

Answers

Answer:

the amount of leaves that fall of the tree in one day

Step-by-step explanation:

n is the amount of days

f is the amount of leaves that fall in a day

Need help only on odds please

Answers

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

Consider the function y=0.88(1.1)x.identify what type of function this is
A.Exponential growth
B.Exponential decay

Answers

Answer:

A

Step-by-step explanation:

Which expression is equivalent to 3x + 6

Answers

Answer:

3x + 6 is equal to x + 2

Step-by-step explanation:

Answer: 3( x + 2)

Step-by-step explanation:

6

3x+6

3(x+2)

Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!

Answers

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

what is the answer to this question

Answers

Answer:

D is the answer

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIST

Determine which is the better buy. (picture below)

Answers

Answer:

Cheese B

Step-by-step explanation:

Find the cost of 1 slice for Cheese A:

Set up a proportion: [tex]\frac{3.59}{10} = \frac{x}{1}[/tex]  Cross multiply, then divide: 3.59 × 1 = 3.59, 3.59 ÷ 10 = 0.359So, the cost of 1 slice of Cheese A is $0.359

Find the cost of 1 slice for Cheese B:

Set up a proportion: [tex]\frac{5.12}{16} = \frac{x}{1}[/tex]  Cross multiply then divide: 5.12 × 1 = 5.12, 5.12 ÷ 16 = 0.32So, the cost of 1 slice of Cheese B is $0.32

Make a conclusion:

Because $0.32 is less than $0.359, Cheese B is the better buy.

I hope this helps!

Find the product of 6x and 2y2

Answers

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)

Find the least common multiple of: 6, 3, 2

Answers

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

Match each mixed number to it's improper fraction.

Answers

Answer:

9/2

5/3

13/4

3/2

Step-by-step explanation:

pls help me!! thank you!!

Answers

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

find the nth term of this quadratic sequence
2, 8, 18, 32, 50,

Answers

75 is the next term

A figure has been dilated from center 0 by a scale factor of = 7/6 . What scale factor would shrink the dilated figure back to the original size?

Answers

Answer:

6/7

Step-by-step explanation:

1 x 7/6 x 6/7 = 1

A scale factor of 6/7 would shrink the dilated figure back to its original size.

To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:

Reciprocal of 7/6 = (6/7)

So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.

To know more about scale factor

https://brainly.com/question/29967135

#SPJ2

Write the decimal 0.00383 in words

Answers

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped

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