Solve system by elimination

9x + 3y = 24
10x - 2y = 0

Answers

Answer 1

Answer:

(1, 5 )

Step-by-step explanation:

Given the 2 equations

9x + 3y = 24 → (1)

10x - 2y = 0 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

18x + 6y = 48 → (3)

30x - 6y = 0 → (4)

Add (3) and (4) term by term to eliminate y

48x + 0 = 48

48x = 48 ( divide both sides by 48 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

9(1) + 3y = 24

9 + 3y = 24 ( subtract 9 from both sides )

3y = 15 ( divide both sides by 3 )

y = 5

solution is (1, 5 )


Related Questions

Write all the names of the quadrilateral shown.
???

Answers

Answer:

Rhombus

Step-by-step explanation:

what are the missing angle measurements?

Answers

Answer:

40°

Step-by-step explanation:

110 + 30 is 140. Since the sum of every triangle's angles are 180, you do 180-140. the answer is 40

Given the function:
g(x) = -2x - 5
What value of x will result in g(x) = 1 ?

Answers

Answer:

X=-3

Step-by-step explanation:

g(X)=1

g(X)=-2x-5

1=-2x-5

1+5=-2x

6=-2x

X=-3

Replace g(x) with 1 and solve the regular equation.

Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.

Determine which of her steps are correct based on the work in the previous step. Drag and drop Yes or No into each box to show if her math is correct for each step.

Then, drag and drop the correct solution into the box to make the statement true.

Answers

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

step 5: no

for the final answer bit: a = 2  3/5 (the last option)

Step-by-step explanation:

yes/no bit:

step 1 is wrong because she didn't multiply [tex]-\frac{5}{4}a[/tex] by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

step 5 is wrong because she added 5 instead of dividing by -5.

for the final answer bit, I've attached an image below with my working out. hope this helps!

Gavin and Ethan are training for a race. Last week,gavin ran 7 kilometers and Ethan ran twice as far as gavin what is the total distance that gavin and Ethan ran last week express your answer in meters.

Answers

Answer:

14 km

Step-by-step explanation:

7x2

PLEASE ANSWER ASAP ILL GIVE BRAINLIEST

The length of a rectangle is represented by (3x + 4). The width of the rectangle is
represented by (2x - 5). Which expression represents the area of the rectangle?

Answers

Answer:

12.04 units squared

Step-by-step explanation:

You need to find X first

3x+4 = 2x-5

5x = -9   (Divide both side by 5)

x = -1.8

Substitute X into the equations

(3x+4) = -1.4

(2x-5) = -8.6

Find the Area with the given number

A = (3x+4) x (2x-5)

A = -1.4 x -8.6

A = 12.04

I need help with number 4

Answers

Answer:

2e3rfe43rdefde

Step-by-step explanation:

Answer:

i d k  m a y b e 4 5?

Step-by-step explanation:

What is the perimeter of kite WXYZ?

Answers

Answer:

C on Edge. 2 (square root of 53) +10 units

Step-by-step explanation:

What is the volume?
11 in
17 in
8 in

Answers

1,496 is the answer because you just multiply them all together

The money in Mrs. Finch's savings account is earning 1.45% interest. Which number below is greater than 1.45%?

0.009 c.) 0.0032 b.) 0.019 d.) 0.0117

Answers

Mrs. Finch is my math teacher!

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

14

Step-by-step explanation:

12 that is the answer
To the question

A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag.

Answers

Answer:

3 for every 5

Step-by-step explanation:

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find the probability of drawing a yellow chip, not replacing it, and then choosing a blue chip.
I need it now!

Answers

i think this right
hope it helps

PLZZZZZ help me with this problem

Answers

0.075.

Do the division on the fraction first, then add that to negative 1.125

The total cost of a $70.42 meal after a 20% tip
$

Answers

Answer:

$84.50

Step-by-step explanation:

Answer:

$84.504

Step-by-step explanation:

20% of 70.42 is 14.08, 14.08 plus 70.42 is 84.504

Consider the two triangles shown. Which statements are correct?
A)
ZA = 78.46
B)
Side B - 5
0)
LC-42.44
D)
Side D = 6
11
E)
The triangles are similar
79
6

Answers

Answer:

A

Step-by-step explanation:

A)

180-44.42-57.12= 78.46

What is the value of x?

Answers

answer is x=13

sorry I had to get something for my mum

15
15 of 16
George needs flour to make bread and cookies. He used 3 cups of flour for the bread. He need 1 cups of flour for each batch of cookies
George has a total of 12 cups of flour.
Select the

Answers

Answer:

9 flour for the cookies

Step-by-step explanation:

there is 12 cups of flour and he already used 3 for the bread so that leaves us to 9 cups of flour left which is the cookies.

the airplane passengers consist of 70 adults and 14 children. What is the ratio of children to all passengers, in simplest form

Answers

Answer:

7:42

Step-by-step explanation:

children: all passengers

then simplify

help will give brainliest

Answers

Answer:

D

Step-by-step explanation:

CAN SOMEONE HELP ME I DON'T GET IT PLEASEE



The temperature was -2 degrees and then ended the day at 18.


Answers

Answer:

a rise of 20 degrees

Step-by-step explanation:

since it started at -2 degrees, you have to add enough to get out of the negatives.

-2 + 2= 0, then 0+18 to get to the 18°

-2 + 20 = 18

Hey can someone please help me solve system of equations I’m failing can y’all help me pleaseee

Answers

Cashier job pays $9 per hour
Delivering newspaper pays $8 per hour

help .... me .... asap ....

Answers

9514 1404 393

Answer:

  x = 58

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

  (160° -x°)/2 = 51°

  160 -102 = x = 58

cmon y'all i only have 3 more questions

Answers

1.25

the exponent is to the 6th because there are six zeros

Answer:

blue box: 1.25

orange box: -7

12x+24 is equivalent to 4(3x+6) because...

Answers

Answer:

you use disputation

Step-by-step explanation:

4 times 3x = 12x

4 times 6 = 24

In the diagram Shown a 2-foot wide flower border surrounds the heart-shaped pond. What is the area of the border?

!!PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

Area of square = 144 sq ft

Area of circle = πr² = 36π sq ft

Total area = (144+36π) sq ft

Square section of pond is 10 ft by 10 ft, area = 100 sq ft

Circular area of pond has diameter of 8 ft.

Area = πr² = 16π sq ft

Area of pond = (100+16π) sq ft

Area of border = (144+36π)-(100+16π) = (44+20π) sq ft

A ladder leans against the side of house. The angle of elevation of the ladder 71 degrees , and the top o from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.

Answers

Answer:

72.4

use the Pythagorean theorem

A 150​-gram bag of berries is a mixture of raspberries and blueberries. If ​80% of the bag is​ raspberries, how many grams of blueberries are in a​ bag?

Answers

Answer:

30g

Step-by-step explanation:

Since the bag is a total of 150 grams...

100% = 150

1% = 150 ÷ 100 = 1.5

Find out 80% of the bag which is finding out how many raspberries there are in the bag.

80% = 1.5 x 80 = 120

The remaining in the bag out of the raspberries is the berries.

150 - 120 = 30 (berries)

Will give brainliest to decent answer!

Answers

Answer:

1. Domain: [0,120] Range: [0,300]

2. f(30) = 200; After 30 minutes, the altitude of the balloon is 200 feet.

3. x = 10; When the altitude of the balloon is 100 feet, the time has passed is equal to 10 minutes.

4. at 20-40 minutes

5. 70 minutes

6. x: {40 ≤ x ≤ 90}

Step-by-step explanation:

1. The line is between 0 and 120 on the x-axis and is between 0 and 300 on the y-axis.

2. When x = 30, y equals 200.

3. When y = 100, x equals 10.

4. The line stays on 200 for 20 minutes, between 20 and 40.

5. Between 30 and 100 minutes, the altitude is greater than 200.

6. All x values between 40 and 90 (including 40 and 90 too) matches with 300 as their y-coordinate.

Answer:

.1:

.2:

.3:

.4: At around 20 to thirty minutes

.5: From 20 to 90 minutes

.6:

Step-by-step explanation:sorry i dont know the others

help please!
How many solutions does the system have?
3x + y = 8
2x + 2y = 8
a. exactly one
b. no solutions
c. infinitely many solutions

Answers

Answer:

Step-by-step explanation:

a I’m pretty sure

Answer:

a

Step-by-step explanation:

khan is never wrong:)

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