Solve the simultaneous equations
2x + 4y = 22
2x + 2y = 15

Answers

Answer 1

Answer:

1. x= 11+-27

2.x = 7.5 + -1y

Step-by-step explanation:

1. Move all terms containing x to the left, all other terms to the right.

Add '-4y' to each side of the equation.

2x + 4y + -4y = 22 + -4y

Combine like terms: 4y + -4y = 0

2x + 0 = 22 + -4y

2x = 22 + -4y

Divide each side by '2'.

x = 11 + -2y

Simplifying

x = 11 + -2y

2.Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

2x + 2y + -2y = 15 + -2y

Combine like terms: 2y + -2y = 0

2x + 0 = 15 + -2y

2x = 15 + -2y

Divide each side by '2'.

x = 7.5 + -1y

Simplifying

x = 7.5 + -1y


Related Questions


In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2

A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.

Answers

C is the correct answer to your question
I believe its your answer would be C!

(11 + 5) - 7(2 - 1) - 4
show work

Answers

Answer:

answer is 5 hope it helps

Answer:

5

Step-by-step explanation:

11+5=16

2-1=1

(16)-7(1)-4

16-7-4

16-7-4=5

00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8

Which expression explains how to split the debt

Answers

Answer:

None of them. The proper expression(s) to split the debt are:

5400 / 8

or

8x=5400


(HURRY) Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win? Which equation can be used to solve the problem?

Answers

Answer:

Greg won 42 pieces of gum

Step-by-step explanation:


write this number in standard form.

(7 x 100) + (4 x 100 ) + (8 x 1,000)

help asap.

this is a 5th grader problem.

thank you.

worth 50 points!​

Answers

Answer:

(7 x 100) + (4 x 100 ) + (8 x 1,000)

=700+400+8000

=1100+8000

=91009100 is the right answer.

A population of 35 foxes in a wildlife preserve doubles in size every 15 years. the function y=35•2^x , where x is the number of 15-year periods, models the population growth. how many foxes will be after 45 years?

Answers

Answer:

reee

Step-by-step explanation:

skreeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

105

Step-by-step explanation:

15×3

45

35×3=105

What is 4 9/29 + 6 5/58 ?

Answers

Answer:

it 10 23/58

Step-by-step explanation:

i need to learn more and pay attention

A regular polygon has 12 sides find the size of each of its interior angles​

Answers

Answer:

150°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° ( n - 2) ← n is the number of sides

Here n = 12, then

sum = 180° × 10 = 1800°

Since there are 12 interior angles, then

size of each interior angle = 1800° ÷ 12 = 150°

35 is 29% of what number

Answers

Answer:

10.15 is 29% of 35.

Step-by-step explanation:

Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?

Answers

Answer:

5 hours 8 mins?

Step-by-step explanation:

A Cable company charges $70 per month for cable service to existing customers.

a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Answers

B. For new customers there is an additional one time $100 service fee.

A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?

Answers

Answer:

The answer is  11

Step-by-step explanation:

Help please i dont get it

Answers

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

Please help clarify answer and step by step explanation

Answers

Answer:

10

Step-by-step explanation:

When u cross multiply

[tex]5 \div x = 3 \div6[/tex]

= 3x=30(5*6)

= x=30/3

=x=10

Find the area of the triangle.

17.8 cm
2.8 cm

A.)21.84 cm?
B.)21.2 cm2
C.)10.92 cm
D.)10.6 cm2

Answers

Answer:

10.92

Step-by-step explanation:

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

The answer to your question is A 21.84cm2

What is the slope of this graph?

A. -4

B. 1/4

C. -1/4

D. 4​

Answers

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

10

Step-by-step explanation:

2pi(5) is 31.42.

31.42/pi gets you exactly 10pi meters.

If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?

Answers

Answer:

-55

Step-by-step explanation:

7x-6y=2

-2x-y=3

by substitution method

y=3+2x

7x-6(3+2x)=2

7x-18-12x=2

-5x=20

x=-4

-2(-4)-y=3

8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

5x-7y=5(-4)-7(5)

=-20-35

=-55

1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $

Answers

Answer:

Step-by-step explanation:

Find the measure of each angle indicated. Show work.​

Answers

Answer:

? = 109 degrees

Step-by-step explanation:

45 + 75 + _ = 180  ( look for vertical angles)

45 + 75 + 60 = 180

60 +79 + _ = 180 (look for a straight line that forms 180 degrees)

60 + 79 + 41 = 180

68 + 41 + _ = 180 (look for a triangle that adds up to 180)

68 + 41 + 71 =180

180 - 71 = 109 (look for a linear pair)

Increase 386.3 by 4%

Answers

Given:

Increase 386.3 by  4%.

To find:

The value for given statement.

Solution:

We have,

Initial value = 386.3

Increasing rate = 4%

The increased value is

[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]

[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]

[tex]\text{New value}=386.3+15.452 [/tex]

[tex]\text{New value}=401.752[/tex]

Therefore, the required value is 401.752.

Jerry had k pencils. darcy and leonard then gave jerry an additional x pencils each. which expression could represent the number of pencils jerry has now?

Answers

Answer:

[tex]k[/tex]+([tex]x[/tex]×[tex]x[/tex])

Step-by-step explanation:

k is the number of pencils jerry has, and x is the number of pencils darcy and leonard gave him EACH. So you need to multiply 'x' x2 to get the total ammount of pencils they gave him, then add 'k' to know how much in total he has now.

hope it helped! (3

The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between Leeds and London on this map is 8.125cm. Calculate the actual distance between Leeds and London. Give your answer in kilometres.

Answers

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km

Which statement is true??

Answers

I think the first one is correct, sorry if I’m wrong.

WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8

Answers

Answer:

Step-by-step explanation:

we will add like terms

-2x-2<8

we will add 2 on both sides

-2x<10

divide by 2

-x<5

multiply by -1

x>-5

A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.

Answers

Answer:

390 miles

Step-by-step explanation:

(45 x 4) + (35 x 6) = 390 miles

Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain

Answers

Answer: Part A.  B origin    Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.

Part B: The coordinate. Part B the coordinates of the origin are (0,0).

Answer:

A 1,1

Step-by-step explanation:

PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1

Answers

Answer:

The answer is below

Step-by-step explanation:

A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.

The equation of a parabola with a horizontal line as directrix is given by:

(x - h)² = 4p(y - k)

where y = k - p is the directrix and the focus = (h, k + p)

Given that parabola has a directrix at y = 2 and a focus at (5, 0)

Therefore:

y = k - p

k - p = 2          (1)

focus = (h, k + p) = (5, 0)

h = 5, k + p = 0

k + p = 0         (2)

Solve equation 1 and 2 simultaneously by adding both equations together:

2k = 2

k = 1

Substitute k = 1 in k + p = 0 to find p:

1 + p = 0

p = -1

Therefore h = 5, p = -1 and k = 1

Substitute the values of h, k and p into the equation of a parabola:

(x - h)² = 4p(y - k)

(x - 5)² = 4(-1)(y - 1)

(x - 5)² = -4(y - 1)

x² - 10x + 25 = -4y + 4

-4y = x² - 10x + 21

4y = 10x - x² - 21


Anyone know the correct answer?!

Answers

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Answers

This should help ^-^
B: (1/2) exponent 5

That’s the answer I think
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