-2x+2y=6 and 7x+4y=23

Answers

Answer 1

Let's solve this problem step-by-step:

Let's set:

  [tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]

(equation1) * 2

  [tex]-4x+4y=12--equation3[/tex]

(equation 2) - (equation 3)

  [tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]

Plug (equation4)'s value of 'x' into (equation1)

  [tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]

Thus x= 1 and y = 4

Let's check:

 [tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]

Answer: x = 1 and y= 4

Hope that helps!


Related Questions


will mark brainlest if correct! pls help

Answers

Answer:

See below.

Step-by-step explanation:

[tex] y_2 = 4x^2 [/tex]

[tex] x = 1 [/tex]

[tex] y_2 = 4(1)^2 = 4 = a [/tex]

a = 4

[tex] y_3 = 4^x [/tex]

[tex] x = 1 [/tex]

[tex] y_3 = 4^1 = 4 = b [/tex]

b = 4

[tex] y_1 = 4x [/tex]

[tex] x = 2 [/tex]

[tex] y_1 = 4(2) = 8 = c [/tex]

c = 8

[tex] y_3 = 4^x [/tex]

[tex] x = 2 [/tex]

[tex] y_3 = 4^2 = 16 = d [/tex]

d = 16

[tex] y_1 = 4x [/tex]

[tex] x = 3 [/tex]

[tex] y_1 = 4(3) = 12 = e [/tex]

e = 12

[tex] y_2 = 4x^2 [/tex]

[tex] x = 3 [/tex]

[tex] y_2 = 4(3)^2 = 36 = f [/tex]

f = 36

[tex] y_3 = 4^x [/tex]

[tex] x = 3 [/tex]

[tex] y_3 = 4^3 = 64 = g [/tex]

g = 64

for the table below, what is the range?

Answers

Answer:

second option

Step-by-step explanation:

mark me brainliest pls

A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?



1 over 12
1 ninth
3 sevenths
3 forth

Answers

Answer:

c wich is sevenths

Step-by-step explanation:

The probability the teacher that chooses a girl to write the date on the board is :

C) 3 sevenths.

"Probability"

Given:

Boys =12

Girls =9

Total number of students = 12 + 9 = 25.

So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]

This is close to 3 sevenths.

Learn more about probability:

https://brainly.com/question/25870256

A farmer has a field in the shape of a semicircle of diameter 50 m. First,
calculate the length of the semicircle to 1 decimal place.
50 m

Answers

Answer:

157.1 m

Step-by-step explanation:

Here, we want to calculate the length of the semi-circle

This simply refers to the circumference of the semi-circle

Mathematically, the circumference is half that of a full circle

The circumference of a full circle is;

C = pi * d

For half circle or semi-circle;

It is ;

C = (pi * d)/2

D = 50 m

The circumference is thus;

C = 50 * 3.142

C = 157.1 m

keith buys 6 pencils for 90p
how much does one pencil cost?
how much would five pencils cost
how much would eleven cost ?

Answers

15p per pencil for 6 pencils
75p for 5 pencils
1.65 for 11 pencils

Answer:

1 Pencil = 15p

5 Pencils = 75p

11 Pencils = 165p --> £1.65

Step-by-step explanation:

To find one pencil... 90 / 6 = 15

To find 5 pencils... 15 (worth 1 pencil) * 5 = 75

To find 11 pencils... 15 (worth 1 pencil) * 11 = 165 which is £1.65

When does the arrow hit the ground?

From what height is the arrow shot?

Answers

Answer:

The arrow hits the ground after 2.25 seconds

the height the arrow is shot from is (0,18) or 18 units up

Step-by-step explanation:

PLS PLS PLS HELP ME THIS IS LATE

Answers

Step-by-step explanation:

a + 9 = 6

p + 20 = -30

all expressions equivalent to 3.1y+ (y+10) + 4.2y

Answers

Answer:

8.3y + 10

Step-by-step explanation:

Factor the expression.

7x+42

Answers

Answer:

7(x+6)

Step-by-step explanation:

hope it helps :)

Here is the step by step explanation:
Hope this helps
Leave a like and brainliest!

6. The human brain weighes about 1 pounds for each 100 pounds of body weight. What
is the approximate weight of the brain of a person who weighs 85 pounds. Round to
the nearest ounce.
all

Answers

I did a proportion and I think the answer is 13.6 or 14 after being rounded

Henry drives at a speed of 80miles per hour how long will it take to drive 400miles

Answers

5 hours. hope this helps
5.5 hours
Step-by-step explanation:

I need help bad i don’t understand this so plz help

Answers

Answer:

B :  y axis is parallel

     x axis is perpendicular

  4:     (4,8) (4,10)

5: (4,25)

Step-by-step explanation:

Hope this helps, and if you can please mark me Brainiest.

Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?

Answers

Answer:

Multiply it by 4 and divide it by 100.  It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price.  14300

Step-by-step explanation:

PLEASE rate follow and thank

Answer: 6281

Step-by-step explanation:

Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?

Explain please!​

Answers

Answer:

2 t-shirts, 3 cd's, 5 books.

Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.

Help ASAP! Use the graph to answer the question

Answers

Answer:second 1

Step-by-step explanation:

Answer:

The blue line models the data points better than the red line. It is because the data points are all close to the line.

Guy plz Quickly
Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.

What is the surface area of the box?


A.
140 square inches

B.
190 square inches

C.
95 square inches

D.
175 square inches

Answers

Answer:

A. 190 inches

Step-by-step explanation:

Plug in the numbers to the surface area formula  to get 190, i messed up last time

190 I was working for like 20 min on this

Can you please solve this

Answers

Answer: [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

Step-by-step explanation:

I'll do the fraction on the left, then the one on the right. Follow the screenshots below to help you out.

1. Use distributive property. The first of the images is me distributing all the values on the fraction on the left. Now I will do the ones on the left.

2. I used the same method. Now I will multiply the two.

3. [tex]\frac{2(x-7)}{5(x-3)(x-2)}[/tex]

1 picture 2 questions please help

Answers

Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

The sum of two numbers is 376. The first number is 182
less than the second number. What are the two numbers?

Answers

Answer:

376-182=194

so 194 us the 1st

182 is the 2nd

1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)

Answers

Answer:

No Solution

Step-by-step explanation:

2(x - 5) = 2(x - 3)

2x -10 = 2x -6  When we subtract 2x from both sides we are left with a false statement.

-10 [tex]\neq[/tex] -6

Thus, no solution.

2 + 2 = ?
This is for easy points!

Answers

4 is the answert :))
4!!!!!!!!!!!!!!!!!!!

What are the zeros of the function h(x)=2x2+x−15
?

A
x=−3andx=−52
B
x=−3andx=52
C
x=−52andx=3
D
x=52andx=3

Answers

the correct answer is B x=-3 and x= positive 5/2

Find the X & Y value

Answers

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Х
-3
3 so
Plz explain this its a fraction

Answers

Answer:

x = 9

Step-by-step explanation:

x−(3)(3=x+−9 )

Yesterday 1/8 of the books were sold at the bookstore were science fiction books.which decimal is equivalent to this fraction of books sold.

Answers

Answer:

1/8 in decimal form is 0.125

what to numbers add to -7 and multiply to -12

Answers

-3 and -4 is the answer. When you add these 2 numbers they equal -7. But when you multiple them together, you get -12. I hope this helped you, if you want me to explain further, lmk.

Answer:

Not any whole numbers!

Step-by-step explanation:

What is 6x + 8y = 60 and 3x - 4y = -18

Answers

Brainly is forcing me to answer this, don’t report me sorry

Area of a square is 196 cm²

. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by x

centimeters, and decreasing the breadth by y centimeters, find the area of

the rectangle in terms of x and y.​

Answers

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

DE is a midsegment of AABC. Find the value of x.
A
х
D
B
E
6
-
X=
please HELP 30 points

Answers

14 i believe, if it’s a mid segment then 7 is half of x.

Sam put a 12-inch ruler into a cup. If 3 inches of the ruler were sticking out of the top of the cup, how deep was the cup?

Answers

Answer:

9 inches deep

Step-by-step explanation:

12 inches - 3 inches = 9 inches

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