Can someone help solve this ?
Solve the system of equations 2x-y= 13x and -3x+2y=-18 by combining the equations.

Answers

Answer 1

Answer:

x = 18/25, y = -198/25

Step-by-step explanation:

Given the system of equations:

2x – y = 13x

-3x + 2y= -18

You can combine these two equations effectively by multiplying the first equation by 2, and adding because -2y and 2y will cancel out when added. So you will be left with only x terms

( 2x - y = 13x ) × 2

+ -3x + 2y = -18

________________

2(2x) - 3x + 2(-y) + 2y = 2(13x) - 18

4x - 3x - 2y + 2y = 26x - 18

x + 0 = 26x - 18

x = 26x - 18

________________

[Then use the properties of equality to simplify the expressions in the equation to derive the value of x]

x - x = 26x - 18 - x (subtraction property of equality)

0 = 25x - 18

0 + 18 = 25x - 18 + 18 (addition property of equality)

18 = 25x

18 / 25 = 25x / 25 (division property of equality)

18 / 25 = x

x = 18 / 25 (symmetric property of equality)

_______________

Now with the value of x, we can find the value of y by substituting the value of x into the variables of the top equation {2x – y = 13x} because this involves the simpliest steps.

Given x = 18 / 25.

2x – y = 13x → 2x – y + y = 13x + y → 2x = 13x + y → 2x – 13x = 13x + y – 13x → -11x = y → y = -11x.

Now that we know y = -11x, y = -11(18/25) which is - (11 × 18) / 25 = -198/25


Related Questions

Someone plz help me with this

Answers

Answer:

2.20 y axis 2years T x axis is the answer

Ala has 24 dollars, Barb has 66 dollars, and Sophia has as many dollars more than Ala as she has less
than Barb.
How many dollars does Sophia have?
A) $35
B) $42
C) $45
D) $48

Answers

Answer:42

Step-by-step explanation:

It is recommended that a certain medicine be stored in temperatures above 34°F and below 71°F. Enter a
compound inequality to show the acceptable storage temperatures for this medicine. Use t as your
variable.

Answers

Answer:

The inequality is;

34°F < t < 71°F

Step-by-step explanation:

Here, using t as the variable, we want to write an inequality

We want to write an inequality above 34 but below 71

The inequality will be;

34°F < t < 71°F

two times x divide five

Answers

Answer:

2x/5

Step-by-step explanation:

Please help! :)

Will give brainliest, thank you

Answers

Answer:

y=-3/5x+2

Step-by-step explanation:

slope is -3/5

starting point is 2

14 fish out of 100,000 are blue, what would this be as a percentage?

Answers

Answer:

0.014%

Step-by-step explanation:

We need to write 14 out of 100,000 as a fraction. Which makes 14/100,000. Now 14/100,000 as a percent is 0.014%

9. Marika Perez's gross biweekly pay is $2,768.00 How much does she earn annually.
$66,432.00
$71,968.00
O $33,216.00
$143,936.00

Answers

The answer is 71,968

Answer:

$66,432.00

Step-by-step explanation:

I believe its this sorry if I'm wrong

Twice Sam's age added to half her mother's age is 48. Three times her age less one third of her
mother's age is 33. How old are Sam and her mother?

Answers

Answer:

Sam is 15 and her mother is 36

Step-by-step explanation:

Let Sam's age be x and her mother's age by y

We can figure out Sam and her mother's age by representing these scenarios using equations with variables and solving the system using elimination

2x+y/2=48

3x-1/3y=33

You start by making all the numbers in both the equations whole

2(2x+y/2=48)

3(3x-1/3y=33)

Becomes:

4x+y=96

9x-y=99

Add together to eliminate y

13x/13=195/13

x=15

Now that we have x we can plug the value into the x in the equations to give us the y-value

2x15+y/2=48

30+y/2=48

30+y/2-30=48-30

y/2=18

2 X y/2=18 X 2

y=36

Therefore x=15 and y=36

HELP MY PARENTS ARGUING ABOUT THIS ASSIGNMENT PLEASE DO THIS HURRY!!!

Answers

I believe the answer are as follows: 1. A 2. B 3. A 4. D 5. B and 6. B

(-6)(-2)(-1) =

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answers

-6 times -2 is 12
12 times -1 is -12

Brainliest 5 stars thanks!

Answers

Answer:

B

Step-by-step explanation:got 100%

Answer:

B

Step-by-step explanation:

There are 60 students in the school band. 30% of them are sixth graders, 50% are seventh graders, and the rest are eighth graders. a. How many band members are sixth graders? b. How many band members are seventh graders? c. What percentage of the band members are eighth graders? Explain your reasoning.​

Answers

Answer:

there is 12 6th graders 30 7th graders and 12 8th graders and 20% is 8th graders please mark brainlyist

Help please im very lost

Answers

Answer:

pretty sure it is zero

Step-by-step explanation:

There are two x's of the same value so presumably the line is vertical which would mean it has no slope and could only be described as zero

Answer:

Step-by-step explanation:

Find the slope. Use m = y2-y1/x2-x1 form

So, -4-(-17)/-6-(-6)

This = 13/0

Which = undefined.

The slope is undefined.

8th POING GIVEAWAY (lol my hands r tired so srry for the typo)

Answers

Answer:

ooo~ yass ʕ·ᴥ·ʔ

(lil person ty)

ヾ(@⌒▽⌒@)ノ

(virtual hug (∪ ◡ ∪)

Thank you so much, I got it UvU

Select the slope-intercept form of an equation for a line with y-intercept –5 and slope 2. A. x = 2x + 5 B. y = 2x – 5 C. y = 5x – 2 D. y = –5x + 2

Answers

Answer:

y=2x-5

Step-by-step explanation:

slope intercept form is y=mx+b

m=slope

b=y-intercept

Answer: y = 2x - 5

slope-intercept form ⇒ y = mx + b

⇒ where mx is the slope,

⇒ b is the y-intercept

⇒According to the question;

mx which is the slope = 2

b the y-intercept = -5

∴ the equation is

Find the solution of the system of equations.

First equation,

- 2x - 5y = -15

Second equation,

-9x + 15y = -30


Will mark brainliest

Answers

Answer:

the answer to your equation is (5,1) in point form or x=5,y=1 in equation form.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. hope this helps. :)

Find the midpoint of a line with endpoints of (2, 6) and (10, 18)

Answers

Answer:

6, 12

Step-by-step explanation:

10-2=8    8/2= 4   2+4= 6

18- 6= 12    12/2= 6   6+6=12

The answer to your question would be 16

Help me plz answer the both of them

Answers

Answer:

23.Use RHS

24.Use axiom and make 2angle equal then triangle will be equal and it becomes congruent

Answer:

23) +) JL ≅ MO (given)

+) KL ≅ NO (given)

+) ∠K = ∠N = 90° (given)

=> ΔJKL ≅ ΔMNO (HL)

24) +) AC ≅ EC (given)

+) BC ≅ DC (given)

+) ∠ECD = ∠ ACB (2 opposing angles)

=> ΔABC ≅ ΔEDC (SAS)

Step-by-step explanation:

A number with three digits will open up this lock. These clues will help you find it before the turkey burns hard as a rock. Drawing a number line might help you too, Enter the number below when you are through! My number has ones, tenths, and hundredths Rounding to the nearest whole number, you get 4 Rounding it to the nearest tenth, you get 3.5 The number of hundredths is greater than 3 7​

Answers

Answer:

7.77

Step-by-step explanation:

nearest one = 4

nearest ten = 0.35

nearest hundreth = more than 37

--4

-3.5

<.37-

+__

7.77

i think thats it. pls dont let turkey roast alive D:

Analyze the table showing the number of days and cost of the trip.

Answers

Answer:

The answer is 25

Step-by-step explanation:

Marcus can rap about 42 words per minute. If he raps at this rate for 30 minutes without stopping, about how many words will he rap?

A) 1260
B) 2100
C) 2520
D) 4200

Answers

A, 1260 words per minute

PLEASE ANSWER FAST!! WIIL GIVE BRAINLIEST
Which equation correctly shows how to determine the distance between the points (9,-2) and (6,3) on a coordinate
grid?
Od-V(6-3)?+ (9-(-2))?
Od-V(6+3)²+(9+(-2))?
)9
O ơ= 6 – 9) + (3-(-2)
d-/6+9)2+(3+(-2)2

Answers

Od-V (6+3) to the 2nd +(9+(-2)) is the correct answer.... In other words the second one.

List all 3-digit numbers which are 19 times the sum of their digits.

Answers

Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

Step-by-step explanation:

These are all the three-digit numbers that are a multiple of 19.

Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

PLS GIVE BRAINLIEST

If Tai Reed's average monthly expenditure for 4 months is $2,303.50, what is the total of his expenditures for that period? *
685.75
575.85
9,214.00
12,545.50
TIMEDD TEST!!

Answers

$2,303.50 x 4 = $9,214

Answer : $9,214.00

Help pls!
U don’t need to explain

Answers

12x-18–4x-2

bonus : x=2

help asap i don't understand

Answers

x+4/12=-5/3

3(x+4)=12-5

3x=7

x=7/3

x=2.3

What is 50% of.......55

Answers

27.5 .,. I need 20 characters so just ignore this part lol

Can sum1 help me plz
A square garden has an area of 53.29 square meters. What is the length of each side of the garden?

1) 3.8m
2) 7.3m
3) 13.3m
4) 26.6m

Answers

The answer is 3) 13.3m

Answer:

7.3m

Step-by-step explanation:

Area is l * w

The length and width of a square are the same, so that means we can use square root for this problem.

The square root of 53.29 is 7.3

7.3*7.3 = 53.29 (<- to double check)

the lenght of the floor is 32 m longer than its width and there is greater than 200 square meters. you will cover the floor completely with tiles. what will be the possible dimension of the floor?

Answers

Let’s assume the width of the floor is x and the area is a

To figure out the dimensions we need to figure out the value of the variable (x)

This means that the length is xm+32m (the m is for metres) and that the area is a>200m2

Because it says what is the possible dimensions let make the area 201m2

The formula for the area of a rectangle is length times width so the equation we use to figure out the value of x


201=x+x+32

So let’s collect like terms and solve from there
201=2x+32
201-32=2x+32-32
169=2x
169/2=2x/2
84.5=x

Now that we know the value of x is 84.5 we can figure out the length is 116.5m and the width is 84.5m

Therefore the dimensions of the floor is 116.5m by 84.5m

What is Fourteen minus four times y is equal to y increased by 4

Answers

The answer i think is 14-4y=y+4
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