Solve the simultaneous equations
3x + 2y = 14
2x + 7y = 15
X =?
y =?

Answers

Answer 1
3x + 2y = 14 --> equation (1)

2x + 7y = 15 ---> equation (2)


multiply equation (1) by 7
and multiply equation (2) by -2

21x + 14y = 98 equation (1)

-4x -14y = -30 equation (2)


21x -4x = 98 -30

17x = 68

x = 4

not by substitution in any equation by x = 4

3x + 2y = 14

3(4) + 2y = 14

12 + 2y = 14

2y = 14-12

2y = 2

y = 1

so x = 4
and y = 1








Related Questions

Benjamin has enough icing to cover a 1/2-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing? A- 1/2 divided by 2 B- 2 divided by 1/2 C- 2 times 1/2 D- 1/2 divided by 1/2

Answers

Answer:

b

Step-by-step explanation:

To determine the size of each of the two cakes that can be covered with icing, he would divide the number of cakes by the amount of icing

2 ÷ [tex]\frac{1}{2}[/tex]

Can I have some help please

Answers

Answer:

I think it's trapezium .

Can someone please help me with math.

Answers

Answer:

My guy the answer to your question is A. He charges $1.50 per bag plus $3.00 for handling.

A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the nearest tenth of a meter, corresponding to the 43.4-m base.

Answers

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

please help with my geometry

Answers

Answer:

45

Step-by-step explanation:

90+45+45=180,k

I think 45 would be the awnser

Someone pls help im new tysm if you do!

Answers

Answer:

-24 is your answer<3.....

the parenthess are just multiplication, so 6*-4 is -24

List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar triangles. Plz this is due today!!!! I tried 3 times already!!!! More in pic.

Answers

9514 1404 393

Answer:

angle pairs: correctEF/HI = EG/HJ = FG/IJ

Step-by-step explanation:

As with the angle pairs, use the corresponding vertices to name corresponding segments.

As is done here, I find it convenient to list the vertices vertically in the order shown in the similarity statement.

∠E ≅ ∠H∠F ≅ ∠I∠G ≅ ∠J

This can make it easier to identify the corresponding vertices used for naming segments.

__

Moving on the the extended proportion, ...

The denominator HI uses the first two vertices, with E corresponding to H and F corresponding to I. The appropriate ratio is ...

  EF/HI

The denominator HJ uses the 1st and 3rd vertices, with E (still) corresponding to H and J corresponding to G. The appropriate ratio is ...

  EG/HJ

Similar thinking is used to identify the last ratio:

  FG/IJ

Then the extended proportion is ...

  EF/HI = EG/HJ = FG/IJ

Find the area of the polygon. Please help.

Answers

Answer:

40 units

Step-by-step explanation:

The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40

Hey there!

The correct answer is 40 units squared.

We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:

(4 * 5) / 2 = area

20 / 2 = area

10 = area

Now we can multiply it by 4, which gives us 10 * 4 or 40.

Have a terrificly amazing day! :D

select all that apply.​

Answers

I think it’s b and c I’m not really sure

If the sum of the measures of the three angles shown is 163 degrees, what is the measure of \angle CEB∠CEB?

Answers

Answer:

24 degrees

Step-by-step explanation:

Answer:

24 degrees

Step-by-step explanation:

if the original parabola defined by y= x ^2, how would it change if y= 2 (x - 3) +1 were graphed instead?

Answers

Answer:

It would be stretched vertically by a factor of 2, shifted right 3, and shifted up 1

Step-by-step explanation:

Note that inside the parentheses, the shift is the opposite direction of the add/subtract sign.

Answer: A

Step-by-step explanation:

A pyramid has a rectangular base of dimensions 15 cm and w cm. Given that its height and volume are 18 cm and 826 cm3 respectively, find the value of w.

Answers

Answer:

9.18 cm

Step-by-step explanation:

A  pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.

for a rectangular pyramid, the base is a rectangle  

The volume of a pyramid = 1/3 × (area of the rectangle x height)

Area of a rectangle = length x width

15 x w = 15w cm²

826 = 1/3 x (15w x 18)

multiply both sides of the equation by 3

15w x 18 = 2478

Divide both sides of the equation by 15 x 18

w = 9.18 cm

 

divide both sides by 10

solve using substitution

y = -x - 6
4x - 2 =0

Answers

X=1/2 , y= -13/2
That the answer for the questions

Mrs. Vance buys 710 grams of strawberries.
She has 210 grams of strawberries left after making
5 glasses of strawberry smoothie.
How many grams of strawberries does she use for a glass?


How do you do it using a bar model

Answers

142 grams because 710 divided by 5 is 142 and she made 5 glasses with 710 grams.

if I'm wrong tell me I'll re do my equation

From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?

Answers

Answer:

1974.6 feets

Step-by-step explanation:

The plane's altitude is : h + 100 feets

To obtain h, according to the attached picture ;

We can use trigonometry :

Tan θ = opposite / Adjacent

Opposite = h ; adjacent = 3000 feets

Tan 32° = h / 3000

h = 3000 * 0.6248693

h = 1874.6080

Plane's altitude :

h + 100 feets

(1874.6080 + 100) feets

= 1974.6 feets

What is the equation of this line?

Write the equation in slope-intercept form.

Answers

Answer:

we start by finding the gradient which is 2

then we use the formula y-y1=m (x-x1)

which will be = y=2x-7

if joe drops 1lb. a week for 4 months,how much weig ht will he lose​

Answers

Answer: 120 pounds

Step-by-step explanation: 30 days in a month so times that by 4 months

Answer:

12

Step-by-step explanation:

Can someone please answer this for me.

Answers

Answer:

[tex]\huge\boxed{\sf Slope = \frac{9}{7}}[/tex]

Step-by-step explanation:

The top and bottom points of the line are

(3,0) and (10,9)

[tex](x_1,y_1) = (3,0)\\\\(x_2,y_2) = (10,9)[/tex]

So,

[tex]\sf Slope = \frac{y_2-y_1}{x_2-x_1}\\\\Slope = \frac{9-0}{10-3} \\\\\boxed{\sf Slope = \frac{9}{7} }\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Describe what is shown in the graph below

Answers

Answer: the shorter the amount of time the higher the ball is in the air

Mar 19, 17:52:58 AM
What are the odds that the spinner lands on red.

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

I hope this helps a little bit.

Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?

Answers

Answer:

Number of miles= 13

Step-by-step explanation:

Giving the following information:

He is receiving total contributions of $65 plus $20 for every mile he walks.

To calculate the number of miles to reach $325, we need to use the following formula:

Total collection= fixed contribution + variable contribution per mile*number of miles

325= 65 + 20*number of miles

260/20 = number of miles

number of miles= 13

I can't seem to get this one can someone please help me

Answers

Answer:

The answer should be C

Step-by-step explanation:

Answer

Can someone plz help

Answers

Answer:

4th choice which is 50.24 sq.m

It is D. 50.24sq. m

A= 3.14 x 4^2
A = 3.14 x 16
A = 50.24

A child sees a bird in a tree. The child’s eyes are 4 feet above the ground and 12 feet from the bird. The child sees the bird at the angle of 40°. What is the bird's approximate height above the ground? Round to the nearest tenth.

Answers

Answer:

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prove that y = 8/x is nonlinear

Answers

Answer:

Step-by-step explanation:

y=8/x

xy=8

input  output

-4     -2  (-4×-2=8)

-2    -4  (-2×-4=8)

2    4   (2×4=8)

4    2  (4×2=8)

it is non linear.

2. Is the triangle below a right triangle? Justify your answer.
39
31
35

Answers

Answer:

No

Step-by-step explanation:

39 + 31 + 35 = 105

Yes the triangle below is a right triangle. The triangle is a right triangle because of the 90 degree angle.

Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3

Answers

Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Is 1.58745078664 rational or irrational?
Thank you!

Answers

Answer: Rational

Step-by-step explanation:

1.58745078664 is rational

This is due to the fact that the number can be expressed with the ratio of two integers. If you were unable to do so, it would be irrational.

PLEASE HELP! Tis urgent-

Answers

Answer:

Rectangular Pyramid.

Step-by-step explanation:

I believe the rectangular pyramid has a greater volume. :) Hope I helped! Have a wonderful day! Please give brainliest! Remember your worth!!! :D

please help !!! this is another timed question omg

Answers

In my opinion the answer that you may be looking for it may be B
sub in the numbers
4(5) + 6(4) + 9(9)
=20 + 24 + 81
=125
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