solve the simultaneous equation
2x + 4y=1
3x - 5y=7

Answers

Answer 1

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.


Related Questions

Five concert tickets cost $181.25.What is the cost of 8 concert tickets?

Answers

The cost of 8 Concert Tickets is $290

Step-by-step explanation:

Five concert tickets cost = $181.25.

The cost of 8 concert tickets = ?

Now,

181.25 ÷ 5 = 36.25

Here, We get the value of one concert ticket is $36.25

Now, For 8 Concert Tickets

8 × 36.25 = 290

Thus, The cost of 8 Concert Tickets is $290

-TheUnknownScientist

Answer:

$290.

Step-by-step explanation:

$181.25 divided by 5 equals $36.25, therefore, $36.25 x 8 = $290. So, the cost for 8 concert tickets is $290.

can you help me pleaseeeeeee​

Answers

Proportion is the correct answer.

Answer:

It's called proportion.

Step-by-step explanation:

The equality of ratios are proportional because like for example 2:3 and 4:9 these two ratios are the same. If you break down 4:9 you will get 2:3. So That's how the term proportional is applied. If we apply these ratio on a triangle they would look the same but just one is small and one is large and we can get it bigger by increasing the ratios. But the difference bwtween the ratios would be same so they are all proportional

No links, brainliest for correct answer

Answers

Answer:

Claire's Claim is WRONG. that is not a right triangle. A right triangle has one right angle, which is a line that goes straight up and staright horizontal. APQ does not have that.

Step-by-step explanation:

BRAINLIEST PLZ

tyty

Kaavya

If r varies inversely as t and t= -6 when t =2, find r when t =-7.
plz give answer with steps

Answers

There was a little error in  t= -6 when "t"=2, I think you meant when   "r"= 2 when t =-6 so i corrected it before solving.

Answer:r= 7/3

Step-by-step explanation:

Step 1

r varies inversely as t  ,written mathematically can be expressed as

r ∝ 1/t

Introducing the constant of proportionality. K we have

r ∝ 1/t

r=Kt

Step 2

Now when r= 2 when t =-6, we have that

r=Kt

2 = K -6,

k=2/ -6= -1/3

Step 3

Find r when t  =-7

Using our equation,

r=Kt

r= -1/3 x-7

r= 7/3

PLEASE HELPPPP ITS A BIG TEST AND I DON’T KNOW WHAT TO DO

Answers

Answer:

choice 2

Step-by-step explanation:

a translation is just a copy from one location to another

hii please help asap ill give brainliest thanks

Answers

Answer:

robes were embroidered with strands of gold.

Step-by-step explanation:

based on archeological evidence

the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan

Answers

12cm

have an amazing day <3

Marco has $1.31 in his coin bank. He spends 87c to buy a pen. After he buys the pen,How much does he has left?

Answers

Answer: $0.44

Step-by-step explanation:

Since Marco has $1.31 in his coin bank and he spends 87c to buy a pen, the amount taht will be left with him after he buys the pen will be gotten by subtracting 87cents from $1.31.

Note that 100 cents = $1

Therefore, $1.31 will be = 100 × 1.31 = 131 cents.

Therefore, 131 cents - 87 cents = 44 cents or $0.44

He has $0.44 left

pls pls help for math

Answers

Answer and Step-by-step explanation:

The answer would be D. 82%.

All we need to do is add together the amount that can swim.

We do this because all of the numbers added together equals 1, so the parts that are split off represent the percentages (in decimal form) of the total amount of people.

0.34 + 0.48 = 0.82.

Multiply by 100 and we get 82%.

#teamtrees #PAW (Plant And Water)

what is 984 times 483

Answers

Answer:

475272 will be your answer.

Step-by-step explanation:

just multiply.

Answer:

475272

Step-by-step explanation:

Brainliest?

You can complete
to keep. ALL TESTS ARE DUE ON MONDAY, MAY 3rd! This will count as
grade.
MATH
NATION
A square has sides of length s. A rectangle is 6 inches shorter than the square and 1 inch longer.
Which of the following expressions represents the perimeter of the rectangle?

Answers

Answer:

Step-by-step explanation:

Length of rectangle: s +1

Width of rectangle: S -6

Perimeter of rectangle:2(s+1+s-6)=2(2s-5)=4s-10

Solve the equations with variable on both sides: 8x=10x + 20 A. X= -10 B. X= -35 C. X= -23 D. X= -40

Answers

The correct answer is A

A) [tex]8(-10)=10(-10)+20[/tex] becomes [tex]-80 = -80[/tex]

B) [tex]8(-35)=10(-35)+20[/tex] becomes [tex]-280 \neq -330[/tex]

C) [tex]8(-23)=10(-23)+20[/tex] becomes [tex]-184 \neq -210[/tex]

D) [tex]8(-40)=10(-40)+20[/tex] becomes [tex]-320\neq -380[/tex]

Please answer the question correctly

Answers

Answer: The answer is 16

Step-by-step explanation: You divide the whole line segment by two to get only the half of the line segement.

1/3 divided by 6 with explanation!

Answers

Answer:

Step-by-step explanation:

In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.

Answer:

1/18 or 18 is your answer.

Step-by-step explanation:

Since 1/3 is already in fraction form, we will now turn 6 into fraction form.  Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18.  The fraction 1/18 can also be 18.  Therefore, 18 or 1/18 is our answer.

Can someone help me

Answers

the answer is 9 because

3x9=27

and 27-18=9

mark brainliest plz

the answer is 9 yaya

On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?

Answers

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

Estimate the number of fish eaten by the dolphins.

Answers

Answer:

so take 354 and add 210 simple u will get 564

Answer:

The correct answer is 564

but a Estimate would be 561.

Your welcome.

Step-by-step explanation:

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

The percentage of American men who say they would marry the same woman if theyhad it to do all over again is 80%. The percentage of American women who say they would marry the same man again is 50%.

A) What is the probability that in a group of 10 married men, at least 7 will claim that they
would marry the same woman again?

B) what is the probability that less than half will say this?

C) what is the probability that in a group of 10 married woman, at least seven would claim that they would marry the same man again?

D) what is the probability that less than half will say this?

Answers

the answer will be the second one

What is the range of possible sizes for x?

Answers

Answer:

9.0 - 15.0

Step-by-step explanation:

Give Brainllest

19. Find the value of:
4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​

Answers

9514 1404 393

Answer:

  107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

  = 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

  = 4/9 +3/4 -9/4 +9 -2

  = 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

Find the value of x need help fast​

Answers

Answer:

x = 30

Step-by-step explanation:

2x + x + 90 = 180

3x + 90 = 180

3x = 90

x = 30

Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2

Answers

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]

since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute

[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]

add 5 to both sides:

[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]

hence,

our answer choice is B

Help again please........

Answers

Answer:

D

Step-by-step explanation:

-7 cubed = -343

-3 squared = -9

-343 - (-9) = -334

Please 0,45 = ........ % 0,3 = ......... % 1,9 = ........... % 0,01 = ...........% 1 = ............%

Answers

Answer:

45%, 30%, 190%, 1%, 100%

Step-by-step explanation:

To get a percent from a decimal, multiply it by 100 and add a % symbol.

pls help me i only have a few mins to answer this question, thank you!

Answers

Answer:

A

Step-by-step explanation:

since it passes the origin then there is no y intercept, so no plus anything. And the line is going down so its a negative.

I need this answer, please?

Answers

Answer:

4.23

Step-by-step explanation:

3.68 + 0.21 + 0.25 + 0.01 + 0.08 = 4.23

How many triangles can be made with only 60 centimeters, 100 centimeters, and 40 centimeters?

Answers

Answer: A: no triangle
Step-by-step explanation:
Because to make a triangle you have to add up all the sides and they make 180 no matter what and if you add 60,100,and 40 it will pass 180.

Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.

Answers

Answer:

The answer is "12 inches".

Step-by-step explanation:

Please find the image file of the graph.

We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.

[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].

We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.

They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.

Thus, if the perimeter is 32, the following is the result:

[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]

Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]

What is 10 plus 9 plus 5047

Answers

Answer:

5066

Step-by-step explanation:

10 + 9 + 5047 = 5066

The answer is 5066

Answer:

5066

Step-by-step explanation:

(10 + 9) + 5047