Solve the simultaneous equation
(use substitution please!)

3x-2y=21
4x+3y=11

x= ?
y= ?​

Answers

Answer 1

[tex]3x -2y =21 ~~....(i)\\\\4x+3y = 11~~~...(ii)\\\\\text{From (i)}\\\\3x - 2y = 21 \\\\\implies x = \dfrac{21+2y}3 = 7 +\dfrac{2y}3 ~~~...(iii).\\\\\text{Substitute x in equation (ii):}\\\\4\left( 7 + \dfrac{2y}3 \right) + 3y = 11\\\\\\\implies 28 + \dfrac{8y}3 + 3y =11\\\\\implies \dfrac{17y}3 = 11-28 = -17\\\\\implies \dfrac{y}3 = -1\\\\\implies y =-3\\\\\text{Substitute} ~ y =-3 ~ \text{in equation (iii):}\\\\\x=7+\dfrac{2(-3) }3 = 7-2 =5\\\\\text{Hence,} ~(x,y) = (5,-3)[/tex]


Related Questions

I’m stuck help would be nice

Answers

Answer:

x = 30

Both angles equal 80

Step-by-step explanation:

3x-10=2x+20

3(30)-10 = 80

2(30)+20 = 80

I hope this helps!!

Find the slope of the line.
PLEASE SOMEONE ANSWER THIS EQUATION FOR ME I NEED HELP ON THIS!!!!worth 20 points i will mark you brainliest ​

Answers

Answer:

2/3

Step-by-step explanation:

The slope of the line can be calculated by dividing the vertical distance (rise) by the horizontal distance (run) between the two points.

The first point has coordinates (-1,0), and the second point has coordinates (2,2).

The rise is 2-0=2, and the run is 2-(-1)=3. Therefore, the slope is 2/3.

Find the Domain to this to be brainlest

Answers

Answer:

Its the x of the (X,Y)

Step-by-step explanation:

You decide to purchase a monthly subscription to Netflix. After 2 months, you have $350 in your bank
account. After 6 months, you have $314 in your bank account.

Answers

Answer:

Netflix costs 9 dollars a month

Step-by-step explanation:

the difference in balance between 2 months and 6 moths is 36 dollars. That is a 4 month period. 36/4=9

A two digit number is such that the one's digit is four more than the tens digit and the sum of the digits is 14. find the number??​

Answers

Answer:

Wyzant

SOLVE IT

Chi Y. asked • 07/27/18

The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?

There is no format. I just the answer ASAP.

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2 Answers By Expert Tutors

By:

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Andy C. answered • 07/27/18

TUTOR 4.9 (27)

Math/Physics Tutor

SEE TUTORS LIKE THIS

Here is the algebraic solution:

T is the tens digit

O is the ones digit

T+O = 14

So O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.

Can anyone help me ASAP!

Answers

Answer:

true

Step-by-step explanation:

Make me brainliest

What is would be perpendicular to the equation y=4x+1

Answers

m=-1/4 put the 1/4 into a fraction so like m=-1/4
Y= mx+b
Y= 4x+1

Perpendicular means that the slop of an equation has an opposite slope to the original one


So flip the 4 (slope) and change its sign

New slope: -1/4

New equation: y= -1/4x+1

PLS HELP ILL GIVE BRAINLIEST
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 30. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Answer:

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 30.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 30. Now let's solve it.  

k2 + k = 30 < Given

3k = 30 < Combine like terms

k = 10 < Divide both sides by 3

We know Kim's sister is 10 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 10 for k and you get 10(2) = 20

Kim's sister is 10 y/o and Kim is 20 y/o

Step-by-step explanation:

Paul works at a local grocery store. He worked 15 hours this week. Last week he worked 2.5 times as many hours as he worked this week. How many hours did Paul work last week?

Answers

Answer:

37.5 hours

Step-by-step explanation:

15 x2.5 = 37.5

(X^3 - 1/2x^2 + x) + (x^2 - x/4 - 5)


I need help figure if this out

Answers

Answer:

[tex]x^3+\frac{-x^2-x}{4}+x+x^2-5[/tex]

Step-by-step explanation:

[tex](x^3-(\frac{x}{2})^2 +x) + (x^2-\frac{x}{4} -5)[/tex]

The addition sign between the sets of parentheses means to add the two equations together by combining like terms

There is only one term raised to the 3rd power so that remains the same.

Next you have -1/2x ^2 + x ^2 = 1/2x ^2

Then x + -x/4 = 3/4x

And -5 is the only term with no variable so that remains the same.

Now combine into one line:

X ^3 +1/2x^2 + 3/4x -5

write an equivalent fraction for 3/7 and 1/3 using 21 as the common denominate

Answers

Answer:

9/21 for 3/7 and 7/21 for 1/3

Step-by-step explanation:

Write out the fraction and then find out what you have to multiply the number in the denominator by in the first fraction to get the second. After you multiply the denominator then multiply the same number to the numerator.

Samuel's sister is 39. She is 6 years older than Samuel's age tripled. How old is Samuel?​

Answers

Answer:

11

Step-by-step explanation:

39-6=33

33/3=11

Answer:

Samuel is 11 years old.

Step-by-step explanation:

x=(39-6)/3

39-6=33

33/3=11

x=11

what does this mean help

Answers

Answer:

where is the question????

Which equation represents a line which is perpendicular to the line

6

x

+

7

y

=



42

6x+7y=−42?

Answers

Answer:

Mark me as brainlist

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a×(2/7) = -1......( perpendicular to a line with a slope of   2/7)            because :     2x-7y =-42...y=(2/7)x+6    )      

a = -7/2         y=(-7/2)x+b

the line that passes through (6, -3) :- 3 = (-7/2)(6)+b

b =18

the equation is :  y  = (-7/2)x+18

A circle has a diameter of 18 yd. What is its circumference?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

the circumstance is 56.55

for a brainly solve these 2

Answers

Answer:

1) m= 2, b = 4

2) m= -2 /3 , b = -2

a survey of 80 people in the grocery store showed that 24 people were buying frozen pizza for dinner. what percent of the people surveyed were buying pizza for dinner ? percent is out of 100

Answers

Answer:

zxcvbnm,.;lkjhg

Step-by-step explanation:

defghjkilo;p'

30 out of 100%

24 people were buying pizza out of 80 people that were surveyed

8th-grade need help asap

Answers

Answer:

A. x ≤ -2

Hope this helps!

[tex] - 2(5x + 3) \geqslant 14[/tex]

Divide both sides by -2

[tex] \frac{ - 2(5x + 3)}{ - 2} \leqslant \frac{14}{ - 2} \\ [/tex]

[tex]5x + 3 \leqslant - 7[/tex]

Subtract both sides 3

[tex]5x + 3 - 3 \leqslant - 7 - 3[/tex]

[tex]5x \leqslant - 10[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} \leqslant \frac{ - 10}{5} \\ [/tex]

[tex]x \leqslant - 2[/tex]

If a squirrel gets run over by a car, what needs to happen for it to become a fossil?

Answers

Fossilization (the process of turning something into a fossil) requires heat, pressure, and time to be performed. In this case, the creature must be quickly buried and taken away from oxygen in order for the whole body to fossilize.

David runs 4 miles in 30 minutes. At the same rate , how many miles would he run in 48 minu

Answers

Answer:

6.4 miles

Step-by-step explanation:

Given: YLF  FRY, RFY  LFY
Prove: FRY  FLY

Answers

㋡All I see is

Nothing

[tex]\huge\mathsf\colorbox{white}{}[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST TO BEST ANSWER WTH STEP BY STEP DIRECTIONS!!!

For n = 2d² - 5 when d = -2, what does n equal?

Answers

Answer:

n=3 (there's no way I can explain this I can only give you the answer)

Step-by-step explanation:

Question
A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed? Write your answer as an inequality.

Answers

Answer:

How many more times x does the giraffe need to be fed?

a) 17 times

Write your answer as an inequality

Let x represent the number of feedings left.

1/3(75 - 24) ≤ x

= (25 - 8) ≤ x

= 17 ≤ x

Step-by-step explanation:

A large male giraffe needs to eat at least 75 pounds of food each day.

At each feeding, the giraffe is fed 3 pounds of food.

Hence,

3 pounds of food = 1 feeding

75 pounds of food =

= 75/3

= 25 feedings.

That means in a day, the giraffe is fed 25 times.

The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed?

3pounds of food = 1 feeding

24 pounds of food =

Cross Multiply

= 24/3

= 8 feedings.

From the calculation here, the cloth has already fed the giraffe 8 times

Hence,

= 25feedings - 8 feedings

= 17 Feedings left.

Hence, the giraffe has 17 Feedings left to go.

Write your answer as an inequality

Let x represent the number of feedings left.

1/3(75 - 24) ≤ x

= (25 - 8) ≤ x

= 17 ≤ x

Step-by-step explanation:

4 1/2*3 what dose it equal

Answers

Answer:

18/2

Step-by-step explanation:

First you need to convert the improper fraction then multiply the 4 by 2 and add 1 to it then it would be 9/2 and the whole number that is 3 you put it in a fraction then it would be 3/1 and then you multiply 9 by 3 and 2 by 1 and would be 2/18

-15 = 3 + j equation​

Answers

Answer:

J= -18

Step-by-step explanation:

Solve for j by simplifying both sides of the equation, then isolating the variable

Find f(3) for
f(x) = 2x-1

Answers

Answer:

f(x) = 2x-1

f(3) = 2(3)-1

3f = 6-1

3f = 5

Part III: The number √21 is a(n) __________ number because __________. (2 points)

Answers

Answer:

Step-by-step explanation:

Irrational number

It is a radical.

(1/4)^2 / (-5/9)

PLASE SHOW WORK!!! :)

Answers

It equals to -0.1125

Finding the slope I know how find it a little bit but still need help with it

Answers

Answer:

how

Step-by-step explanation:

I help you plsjjsjzjxhxbx

Help, help, again, again, again! :(

(will give brainliest, and 15 points)

Answers

Answer: Simplify each side

              combine like terms

    [tex](\frac{5}{3} r+-r)+(\frac{1}{3} )=2r\\\frac{2}{3} r+\frac{1}{3}=2r \\subtract 2r from each side\\\frac{-4}{3} r+\frac{1}{3}=0 \\subtract 1/3 from each side\\\frac{-4}{3} r=\frac{-1}{3} \\multiply each side by 3/(-4)\\r=1/4(Answer) \\sorry for the wait Brainly pls[/tex]

Step-by-step explanation:

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