Solve for x:
5x - 3y = 22
10x - 4y = 46​

Answers

Answer 1

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1


Related Questions

A population of llamas stranded on a desert island is decreasing due to a food shortage by 6% per year. If the population of llamas started out at 350, how many are left on the island 10 years later?

Answers

Answer:

189

Step-by-step explanation:

Given data

Initial population=350

Rate = 6%

TIme= 10 years

Let us apply the compounding expression

A=P(1-r)^t----------The negative sign is due to decreasing value

substitute

A= 350(1-0.06)^10

A=350(0.94)^10

A=350*0.5386

A=188.51

Hence the approximate population will be 189

Please help me, y= ? Answer it below.

Answers

I’ve attached my work...
Hope it helps!

Find the measure of

Answers

Answer:

25 degrees.

All the angles of a rectangle are equal. I may be 100% wrong, don't trust me completely.

Step-by-step explanation:

In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.​

Answers

Answer:

84°

Step-by-step explanation:

∠VTY is the tangent chord angle

Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

Inscribed angle is the half of the intercepted arc

Since both of the mentioned angles refer to same arc, they are of same value.

∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

m∠T = m∠V = 48°

The measure of angle S

m∠S = 180° - 2*48° = 84°

The required angle

m∠VTY = 84°

Answer:

∠VTY = 84°

Step-by-step explanation:

because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°

Then ∠VST = 84°   (180 - 48 - 48 = 84)

Well, I'm going back to the picture is worth a thousand words again.

Sketch attached:

A line from S to the center bisects ∠VST into two 42° angles.

A line from T to the center forms a 42° angle with line ST.

48°-42° = 6° = angle from perpendicular line CTR to line VT.

90° - 6° = 84° for ∠VTY

Rafael and his sister bought snacks for movie night.
Rafael got 3 boxed candies and 1 bag of chips for $6.99.
His sister got 2 bags of chips and 1 boxed candy for $5.98.
Find the cost for 1 of each of these items in dollars.
1 boxed candy costs $?
1 bag of chips costs $?

Answers

Answer:

1. $2.33

2. $2.99

Step-by-step explanation:

Answer:

bag of chips is 2.19

boxed candy is 1.60

Step-by-step explanation:

Desmos Calculator

Just look at the picture please. I don't want to type all that, lol. Only answer if you know! Thanks have a wonderful day! Remember your! You are appreciated! Bye ; D​

Answers

-1/3x

What term can you add to 5/6x -4 to make it equivalent to 1/2x - 4?

First I see the constants (-4) are equal to each other, so I don’t need to add anything to them.

5/6x and 1/2x are different though, so I know I need to add something, let’s call it y, to 5/6x to make it equal 1/2x

To add fractions, they have to have the same denominator. 1/2x becomes 3/6x.

5/6x + y = 3/6x
Subtract 5/6x from both sides
y = -2/6x

-2/6x can be simplified to -1/3x, so -1/3x is the answer.

how many toes do i have? giving brainiest if right!

Answers

10 toesssssssssssssssssssssssss

Using the line ab name two line segments
Brainliest

Answers

Answer:

A. AC, CB

Step-by-step explanation:

The answer you have selected is correct because a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. Thus the answer A is correct!

Hope this helps

All the love, Ya boi Fraser :)

Answer:

Give him brainliest!

Step-by-step explanation:

HELP ME PLEASE HELP!!!

Answers

Answer:

P(green) = 1/5

Step-by-step explanation:

P(yellow or blue on board 1) = 2/4 or 1/2

P(yellow or blue on board 2) = 2/5

2/5*2/4 = 4/20

Simplify.

1/5

are these true or false plz help

Answers

Answer:

v

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The Perimeter of the parking lot parking lot is 366 m.
If the length of the parking lot is 97 m. What is the width?

Answers

Answer:

The width is 86m. Just subtract 97*2 from 366 and then divide the answer by 2.


(Enough for 6 people)
25 ml butter
How
many
Mililitres of butter will she need for 12
People?​

Answers

Answer: 50 ml of butter

Step-by-step explanation:

for 12- 50 mililitries

What is the slope of the line?

2
1
-2
1 / 2​

Answers

The slope of the line is 2

Answer:

1

Step-by-step explanation:

24 - 7/8 I’m taking a test so I don’t have much time.

Answers

Answer:

23.125

Step-by-step explanation:

7/8= 0.875

24-0.875=23.125

what should be subtracted from 3 by 5 to get 1 by 5​

Answers

Answer:

2/5

Step-by-step explanation:

Hope this helps you!!!

Answer:

2/5.

Step-by-step explanation:

because

3/5+2/5= 1

so, 2/5 will be the answer.

I hope this helps    :)

Plz help me

Explation for both questions and tell what conceputal key you use.

Giving 35 points


1. Lizzy opened an ice cream parlor in her neighborhood selling homemade ice cream. She has a goal to create 80 new ice cream flavors. If she already created 37 flavors, how many more flavors does she still need to create?



2. A staples truck is delivering notebooks to CMS. There are 212 boxes with 198 notebooks in each box. How many total notebooks are there?

Answers

Answer: the first one is 43 because 80- 37 = 43

the second one is 41,976 because 212 times 198= 41,976

Step-by-step explanation:

So far, Keith has burned 604.3 calories. He wants to burn a total of 700 calories. How many more calories must Keith burn?

Answers

so to do this you need to use subtraction to find it how many more calories he needs to burn 700. so you would do 700 - 604.3 to get an answer of 95.7! :)

PLEASE HELP WITH C---(40 pts) WILL GIVE BRAINLIEST FOR REAL ANSWERS

Answers

Answer:

all r same lol

Step-by-step explanation:

please mark me as brainliest

Answer:

A is 2

B is 1/2

C, I'm not really sure what it means

Step-by-step explanation:

Hope this helps! Please mark me brainliest

I WILL GIVE BRAINLIST EASY QUESTION

What was done to turn the parallelogram into a rectangle?
Hint (The length of the segment the figure was cut along is the height of the parallelogram)

Answers

hi hi hi hi hi hi hi hi hi hi hi hi hi hi

2
Find the area of the figure shown below and choose the appropriate result.
A 96mm^2
B 102 mm^2
C 90 mm^2
D 140 mm^2

Answers

Answer:

It should be: B.

Step-by-step explanation:

If its not correct then its probably C then

Answer:

The answer should be B

Step-by-step explanation:

What is the solution or solutions to the equation x + 5 = 5x ?

Answers

Answer:

x = 5/4

Step-by-step explanation:

The solution or solutions to the equation x+5=5x is 5/4. It can also be written as 1.25. This is because you move the constant to the right-hand side and change its sign, then you collect like terms, divide both sides of the equation by -4.

HELP One angle of a regular hexagon measures (2x+10)°Find x

Answers

Answer:

x = 55

Step-by-step explanation:

total number of degrees in a 6-sided figure is (6-2)x180, which is 720°

720/6 = 120

Each angle of a hexagon measures 120°

2x+10 = 720

2x = 110

x = 55

Who ever answers I will give brainlyst

- The scatterplot shows the average number of hours each of 13 people spends at work every
week and the average number of hours each of them spends on recreational activities every
week.



Based on the scatterplot, what is the best prediction of the average number of hours a person
spends at work every week if that person spends an average of 10 hours on recreational
activities every week

Answers

Answer:

5h

Step-by-step explanation:

Can u help me out with my newest one???

Answer:

5h

Step-by-step explanation:

PLS HELP IF U TAKE THE POINTS IM REPORTING U
QUESTION IN PIC

Answers

the answer should be false

Neptune's average distance from the Sun is 4.503 × 109 km. Mercury's average distance from the Sun is 5.791 × 107 km. About how many times farther from the Sun is Neptune than Mercury

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The ratio of distances is ...

  Neptune distance / Mercury distance = (4.503×10^9)/(5.791×10^7)

  = 450.3/5.791 = 77.76 . . . . cancelling factors of 10^7

Neptune is about 77.76 times as far from the Sun as Mercury is.

Five kids had b bags of chips each. A parent had a 20 pack of chips and 4 individual bags that they split between the kids. Write an expression that represents the number of bags each kid had.

Answers

Answer:

2.20 by4

Step-by-step explanation:

please help, I did it 3 times but can't seem to get is right​

Answers

Answer:

A' = (-2,0)

Step-by-step explanation:

imagine a mirror being along the line y=2.

Then A's mirror image would appear at -2,0.


Brenda likes to swim when she is at her cottage. She swam 12 m north from her dock, and then 60 m east. How far will she have to swim if she wants to go directly back to the dock?

Answers

Answer:

72 m

Step-by-step explanation:

If Brenda is going 12m north and 60m east, that's a total of 72m because 12+60 = 72, so if Brenda wants to come directly back to the dock she will just have to follow her footsteps back 72m.

A handbag company had 5% of the market in 2011 in 2015 it had 23%.

(a) Write a linear equation expressing the percentage of the luxury handbag market y that the company had x years after 2000

Answers

Answer:

[tex]y = 0.045x -0.445[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1)=(11,5\%)[/tex] ---- in 2011

[tex](x_2,y_2)=(15,23\%)[/tex] --- in 2015

Required

Linear equation for x years after 2000

First, calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{23\% - 5\%}{15 - 11}[/tex]

[tex]m = \frac{18\%}{4}[/tex]

[tex]m = 4.5\%[/tex]

[tex]m = 0.045[/tex]

The equation for x years after 2000 is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0.045(x - 11) + 5\%[/tex]

[tex]y = 0.045x - 0.495 + 0.05[/tex]

[tex]y = 0.045x -0.445[/tex]

If one cookie needs 1/6 cup(s) of oil, how much vegetable oil will 4 cookies need?

Answers

Answer:

2/3 cups.

Step-by-step explanation:

1/6 + 1/6 + 1/6 + 1/6 is 4/6

Then simplify

2/3

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