What is the solution to the system of equations?

6 x + 2 y = 6. 7 x + 3 y = 5.

Answers

Answer 1

Answer:

x = 2, y = -3

or

(2, -3)

Step-by-step explanation:

6x + 2y = 6

7x + 3y = 5

multiply the first equation by -3 and the second equation by 2 and solve by elimination

6x + 2y = 6

becomes

-18 - 6y = -18

7x + 3y = 5

becomes

14x + 6y = 10

then, add the new equations.

-18x - 6y = -18

14x + 6y = 10

-4x + 0 = -8

-4x = -8

4x = 8

x = 2

then, substitute x for 2 in one of the eqautions.

6x + 2y = 6

12 + 2y = 6

2y = 6 - 12

2y = -6

y = -3


Related Questions

An encryption key is used to help decrypt messages. True or False. Explain why

Answers

Answer:

True!

Step-by-step explanation:

   

Solve it step by step using substitution.
y = 2x - 1
y = 5x - 7

Answers

Answer: look at the picture

Step-by-step explanation: hope this help

What is the sum of this expression 9x+3 and 6x

Answers

Answer:

15x+3

Step-by-step explanation:

its simple math

Answer:

15x+3

Step-by-step explanation:

5-1.
You now have a lot of experience working with equations that compare two quantities. For example, while working with the height of a tree, you found the
relationship y = 41+5. which compared 2 (the number of years after it was planted) with y (its height in feet). Use the equation for this tree to answer the
questions below

a. What was its starting height? How can you tell from the equation?

Answers

Answer:

If you mean y = 4x + 5, then the answer is 5 (the height would be 5 feet)

Step-by-step explanation:

What are the zeros of f(x) = x2 + x - 12?
O A. x= -4 and x = 3
O B. x=-2 and x = 6
O C. =-3 and x = 4
O D. X=-6 and x = 2

Answers

Answer:

(x+4)(x-3) or A

Step-by-step explanation:

I'm going to assume that you meant to write x² and not x2

which means we have

x²+x-12

and we need to factor this

to do this we need two numbers that add up to 1 (b) but mulitply to -12 (a*c)

our two numbers are

4, -3

Which means the answer is

(x+4)(x-3)

[tex]{ \large{ \bf{f(x) = x {}^{2} + x - 12}}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ - b± \sqrt{b {}^{2} - 4ac } }{2a} }}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ - 1± \sqrt{1 {}^{} + 48 } }{2} }}}[/tex]

[tex]{ \large{ \bf{zeros = \dfrac{ -1± 7 }{2} }}}[/tex]

[tex]{ \large{ \bf{➢ \: \: zeros = - 4 \: \: and \: 3 }}} \: \: \: \: \: \: (ans)[/tex]

Opt A.) is the answer

Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x,y) point.


y = x2 – 2x - 3


(X2) the 2 pose to be on the top right of x as in power to the 2

Answers

(1,-4)

build a table to plot the curve

y=x^2 - 2x - 3

x ¦ y

-2. 5

-1 0

0. -3

1. -4

2. -3

graph from desmos

You are buying movie tickets online for a group of friends. You have to enter the number of tickets you want on the screen shown. You are using a debit card to pay for the tickets and you have a total of $45 to spend. How many tickets can you buy?

Answers

Answer:

I dont think there is enough info

im guessing 9 or 5

Step-by-step explanation:

reasoning: 45 factors are 1,3,5,9,15,45

so if it is 5 people then $9 per ticket or the other way around

David was thinking of a number. David doubles it, then adds 3 to get an answer of 81.6. What
was the original number?

Answers

Answer:

39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

help please, im confused on what exactly y is

Answers

Answer:

3

Step-by-step explanation:

Answer:

Dont understand what the question is?

Step-by-step explanation:

Evaluate and ill change my response..

The table below displays the amount of sugar packets needed to sweeten cups of lemonade (number of sugar packets: 12, 16, 20, 24) (total cups of lemonade: 8, 10, 12, x) what is the total number of cups of lemonade that can be made with 24 packages of sugar.

Answers

Answer:

X=16

Step-by-step explanation:

you multiply 8 and 24 then get 192 and then you divide by 12 which gives you 16

why do systems of nonlinear equations sometimes have more than one solution

Answers

Answer:

System has equal number of unknowns and equations.

Manipulation easily yielded expressions for 4 of the 7 unknowns.

However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.

Is this possible, or did I most probably make a mistake in counting degrees of freedom?

Step-by-step explanation:

Mark had three bags of
jelly beans. If he ate 1/5 of a
bag each day, how long
would his jelly bean supply
last?
Plane

Answers

Answer:

Marks stash of jelly beans would last him 15 days.

Step-by-step explanation:

if you do 3 divided by 1/5 you would get 15.

10. The length of the radius of a bicycle wheel is 14 inches. Which of the following is closest to the circumference of the wheel?​

Answers

Answer:

87.92

Step-by-step explanation:

you have your radius 14 inches  to get the  answer is

1: pie   is 3.14

2: circumference is 2× 3.14×14

3: 3.14×14

4: 43.96 × 2

Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?

Answers

Answer:

752 ft

Step-by-step explanation:

Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:

-16(1.5)²+64(1.5)+80

solving this, we get:

-24²+96+80

576+96+80

752

Two boats are on the water at points A and B, and a lighthouse is located at point C. The three points form a
triangle, where BC = 24 kilometers, m_A = 90°, and m_B=45°. Leaving your answer in simplified root form, what is the
distance between the boat at point A and the lighthouse?

Answers

Answer:

49

Step-by-step explanation:

i took the quiz and used brainly to check my awnser

Can someone plssss help!!

Answers

Answer:

x=20 degrees

Step-by-step explanation:

7x+(x+20)=180

8x+20=180

8x=160

x=20

What is m∠1?............

Answers

the answer is 101

hope that helped

15% of what number is 72

Answers

Answer:

480

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

8. Find the values of x and y. The diagram is not to scale.
50°
120/xº
Do
x = 120; y = 50
x = 60; y = 70
x = 60; y = 60
x = 80; y = 50

Answers

Answer:

A

Step-by-step explanation:

The Gomez family left a 22% tip on their bill of $75.40. How much money
did they leave for a tip?
O $17.87
O $16.58
O $10.00

Answers

Answer:

$16.58

Step-by-step explanation:

22% of 75.40 = 0.22 × 75.40 = 16.588

2.
Today, everything at a store is on sale. The store offers a 20% discount.
A.the regular price of a t-shirt is $18.what is the discount price?

Answers

Answer:

3.6

Step-by-step explanation:

20% of $18

20/100 x 18 = 180/50 =3 30/50 = 3 60/100 = 3.6

An adult leatherback turtle weighs 750 kilograms.

This is approximately 1.5 x 10^4 times its weight when it hatched.

To express the weight of the turtle when it hatched so that the number of units will possible whole number value, which of the following units of measure should be used?

(Note: 1 metric ton = 1,000 kilograms.)

A) Metric tons
B) Kilograms
C) Grams
D) Milligrams​

Answers

Answer:

the answer is C)

Step-by-step explanation:

answer

B is the answear

Step-by-step explanation:

Can somebody help me?

Answers

Answer:

The last two

Step-by-step explanation:

x= 0.6·25

60/100= x/25

HELP ILL GIVE BRAINLYIST

Answers

Answer:

560

Step-by-step Explanation

Since, 476 students make 85%.

Therefore, let x students will make 100%.

[tex] \frac{476}{85} = \frac{x}{100} \\ \\ x = \frac{476 \times 100}{85} \\ \\ x = \frac{47600}{85} \\ \\ x = {560} [/tex]

While studying a population of porcupines, a group of scientists caught and tagged 95 porcupines. A week later, the scientists counted 640 porcupines and saw that 38 of them had tags. To the nearest whole number, what is the best estimate for the porcupine population?

Answers

Answer:

Step-by-step explanation:

95/p=38/640

p=95(640)//38

p=1600

Question # 1 : If Question # 2 : How are lines, rays, and segments different? How are they the same?

Answers

Answer:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. A segment is named by its two endpoints. A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.

Step-by-step explanation:

USE THE ASSOCIATIVE PROPERTY TO ADD THESE FRACTIONS: 1/3 + (1/3 + 1/6) = (____ + _____) + _____= _____​

Answers

Answer:

(1/3 + 1/3) + 1/6 = 5/6

Step-by-step explanation:

ILL MARK BRAINLIEST


Directions: Solve the following system of equations using substitution.
Show your complete steps and make sure to have your solution as (x, y).



y = 3x - 5
5x - 4y = -3

Answers

Y=3x-5

Y=5/4x+3/4

The solution to the equations is in the picture

614 divided by 15??????????

Answers

Answer:

122.8 brainliest plzzz

Step-by-step explanation:

Answer:

040

1 5 6 1 4

 − 0    

   6 1  

 − 6 0  

     1 4

   −   0

     1 4

Step-by-step explanation:

40 reminder 14 is the answer

Write the equation for "25 more than a number x is the same as 44"

Answers

Answer:

25 + x = 44

Step-by-step explanation:

Substitute the words with the math symbols.

25 more than a number x is the same as 44

more than means to +

is the same as means =

25 more than a number x is the same as 44

25          +                       x       =  44    

25 + x = 44

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