1. Solve the simultaneous equations 3x - 2y = 4and 2x + 3y = -6 using elimination method.​

Answers

Answer 1

Answer:

Multiply the first equation by 2

2(2x+y=5) to get 4x + 2y = 10

add the second equation 3x-2y=4

4x + 3x + 2y + -2y = 10 + 4

7x = 14

x = 2

...

Multiply the first equation by 3 and the second equation by -2 then add

3(2x+y=5) to get 6x + 3y = 15

-2(3x-2y=4) to get -6x + 4y = -8

add them

6x + -6x + 3y + 4y = 15 + -8

7y = 7

y = 1

...

x = 2 , y = 1

(2, 1) is the solution

...

check

2(2) + 1 = 5

4 + 1 = 5

5 = 5

Correct

Hope it helps

Please mark me as the brainliest

Thank you


Related Questions

A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.

(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?

Answers

I believe it’s A good luck

There is a line that includes the point (4,8) and has a slope of 4 What is its equation in slope- intercept form

Answers

Answer:

y=4x-8

Step-by-step explanation:

1) The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

2)We have the slope you entered in, so we'll plug that in first:

y=4x+b

3) Now, let's plug in that point you entered in to solve for b:

​ y=4x+b

8=4(4)+b

8=16+b

8-(16)=b

-8=b

   

4) Now that we have both our slope, m, and our y-intercept, b, values, we can plug them in to get our equation:

y=mx+b

y=4x-8

​  

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.

Answers

Answer:

45+5.50p=80

Step-by-step explanation:

45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest

Find two mixed numbers so that the sum is seven wholes and two eights and the difference is two wholes and four eigths

Answers

Answer:

Step-by-step explanation:

x + y = 7 + 2/8 = 58/8

x - y = 2 + 4/8 = 20/8

Add the equations together

2x = 78/8

x = 39/8

y = x - 20/8 = 19/8

x = 39/8 = 4⅞

y = 19/8 = 2⅜

find two numbers whose sum is 44 and whose difference is 20 (PLEASE HELP I HAVE 5 MINUTES)

Answers

The correct answers would be 32 and 12.
32 + 12 = 40, and 32 - 12 = 20. Hope this helps! Have a great day!

Find the distance between (8,5)(-1,3). Round your answer to the nearest tenth.

Answers

Answer: 9.2

Step-by-step explanation:

d = sqrt ((x2-x1)^2 (y2-y1)^2)

d = sqrt (85)

d = 9.219544

My brain is destroying itself so i need a little help I give brain award

Answers

The third one is the right one on e2020

2(3×+4)=4×+12 i need help with this problem​

Answers

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

round to nearest thousandth
0.227​

Answers

Answer:

is there another number after the 7 if so if it is 5 or bigger it rounds up but 1-4 rounds down

Step-by-step explanation:

Answer:

0.23!! =D

hundredths (1/100)

what is the logarithmic form for
[tex]2 { }^{x - 4} = 32[/tex]

Answers

Answer:

[tex]2^x-4=32\quad :\quad x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}[/tex]

hope it helps:)

The two triangles are similar.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

x = 10

Step-by-step explanation:

The ratio of corresponding sides of similar figures is same:

3x/20 = (4x + 2)/(20 + 8)3x/20 = (2x + 1) / 143x(14) = (2x + 1)(20)42x = 40x + 202x = 20x = 10

Answer: x=10

Step-by-step explanation: correct test results

NEED HELP This is a picture of a coordinate graph.

Which ordered pair describes a point that is located 4 units to the left of the origin and 6 units below the x-axis?

(4, −6)
(6, −4)
(−4, −6)
(−6, −4

Answers

Last one is the answer to your question

Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?​

Answers

Answer:

95°

Step-by-step explanation:

Straight angle is 180°

JKL = MKL + JKM180° = 85° + xx = 180° - 85°x = 95°

what is 80% of 25 help me

Answers

(i have to make this 20 characters long)
80% of 25 is 20

PLEASE HELP ASAP!! ITS DUE VERY SOON AND THIS IS MY LAST QUESTION. ILL MARK YOU THE BRAINLIEST

Answers

Answer:

can you show it a bit closer?! i cant read it

Step-by-step explanation:

It should be the last answer.
8 x 16 = 128
3 x 8 = 24 / 2=12. But there are two triangles so the area would add up to 24
24 + 128 =152
152x6= 912

Which expression uses the greatest common factor and distributive
property to write 18 + 24 as a product? Circle the letter of the
correct answer.
A 2(9 + 12)
B 8(10 + 16)
C 6(3) + 6(4)
D 6(3+4)
Lily chose A as the correct answer. How did she get that answer?

Answers

Answer: she got that because when you multiply 2 by 9 you get 18 and when you do 2 times 12 you get 24. Choice à is just a disturbuted version of 18+24

Step-by-step explanation:

Answer:

D. 6(3 + 4)

Step-by-step explanation:

because 18 + 24 = 42 and 6(3 + 4) = 42 as well

I need help please!!!

Answers

Answer:

A

Step-by-step explanation:

AC = 4 miles, BE = 3 miles and FD = 2 miles What is the area of this quadrilateral?​

Answers

Answer:

Step-by-step explanation:

What is the value of x below? *
A diagram with line m parallel to line n is shown.

Answers

Answer:

Step-by-step explanation:

The sum of those two angles must be 180 degrees.

3x+10+80=180

3x+90=180

3x=90

x=30

You buy a new video game for $60.
The sales tax is 8%.

What is the total cost for the game including sales tax?

Answers

Answer:

$64.8

Step-by-step explanation:

To determine the tax, you want to make the percent into a decimal by moving the decimal point over two times the the left, which means 8% would be 0.08. Then, multiply the new decimal by the price. 60 times 0.08 is 4.8. Now, add the tax to the original price. 60+4.8=64.8, so therefore the total cost is $64.8

Can i get the answer please
I will give a brainliest and a thank you

Answers

Yes I agree with her it’s c (give her brainlyest if you want ;)

Luisa surveyed 25 students from her school and found that 1/5 of them had more than one hour of homework

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I'm guessing you want to know the number of people that had more than one hour of homework. This will be:

= 1/5 × 25

= 5 people

Those that have less than one hour of homework will be:

= 25 - 5

= 20 people

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

Find the value of x in each triangle with the given angle measures.

Answers

Answer:

15°

Step-by-step explanation:

Total degrees of a triangle is 180°

Angle 1: ?

Angle 2: 81°

Angle 3: 84°

180°- 81°- 84° = 15°

Find the value of x to the nearest tenth.

Answers

Answer:

The value of x is 3.5.

Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?

Answers

Answer:

12 cups

Step-by-step explanation:

Solve the system of equations below.
{X – y= 7
{2 – y= -4
O (5,2)
O (2,5)
O Ø
O Infinite

Answers

Answer:

fewaaaaa

Step-by-step explanation:

PLZ HURY Jani sold several items in a garage sale. She spent one-half of the money she made on a new bicycle. Next she spent one-half of what was left on a portable stereo set. If Jani had $60.00 left, how much money did she make from the garage sale?


A. $120

B. $240

C. $360

D. $720

Answers

Step-by-step explanation:

The answer is letter B. $240

Answer:b

Step-by-step explanation:

i toke quiz and got a 100

find the value of given expression

[tex] \sqrt[3]{9 - 1} [/tex]

Answers

Answer:

2 ans ......

Step-by-step explanation:

Solution:

= ³√9-1

= ³√8

= 2 ans....

Answer:

[tex] \sqrt[3]{9 - 1} = \sqrt[3]{8 } = \sqrt[3]{ {2}^{3} } = + - 2[/tex]

answer asap pls no wrong answers pls

Answers

Answer:

(-1.1)

Step-by-step explanation:

i dont if is right just tring yo help

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