Solve the system of equations without graphing. Explain or show your reasoning.

{2y=x−4
{4x+3y=5

Answers

Answer 1

Answer:

(2, -1)

Step-by-step explanation:

We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:

-4x+8y = -16

4x+3y = 5

Then, we can add the 2 equations, so the x cancels out:

11y = -11

y=-1

Now, we can plug y as -1 to any of the equations above:

4x+3*(-1)=5

4x=8

x=2

Therefore, the solution to these 2 equations are (2, -1)

Answer 2

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of equations is given below.

x = 2y + 4             ...1

4x + 3y = 5          ...2

From equations 1 and 2, then we have

4(2y + 4) + 3y = 5

8y + 16 + 3y = 5

11y = - 11

y = -1

Then the value of 'x' is given as,

x = 2 (-1) + 4

x = - 2 + 4

x = 2

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

More about the solution of the equation link is given below.

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Related Questions

convert 8o liters to gallons. round answer to the nearest tenth.

Answers

Hello there! Your correct answer would be 21 gallons.

When you convert 80 liters to gallons.. It would be 21 gallons.

In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.  

✨ There is your answer, have a nice day! ✨

(Kinda figured you meant "80")

⌨ Please give me brainlest!! ⌨

What is the value of x in the equation 8+4 = 2(x-1)?
5
11
2
13
2.
7

Answers

Answer:

x = 7

Step-by-step explanation:

How much cents are in 12 quarterS answer fast!!!!

Answers

Answer: 300 cents or 3 dollars

Step-by-step explanation: 12x25=300.

Answer:

300 CENTS

Step-by-step explanation:

hope this helps

your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?​

Answers

Answer:

The investment of $40,000 is worth $94,529.80 now

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

To calculate the final amount we use:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.

Applying the formula:

[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]

[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]

A=$94,529.80

The investment of $40,000 is worth $94,529.80 now

slope=?

please help

Answers

Answer: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

5% of 59 is what number?

Answers

Answer:

2.95

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.95

5 x 59

-----------

100

= 2.95

What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP​

Answers

Answer:

Step-by-step explanation:

m-10=0

m = 10

8m-1=0

8m=1

m=1/8

What is 4÷3/5 Options:6 6 2/5 6 2/3 8​

Answers

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Question 4
Which of the following statements is true (read each carefully!):
.
The square root of 30 is between 6 and 7.
• The square root of 41 is between 5 and 6.
The square root of 14 is between 3 and 4.
• The square root of 27 is between 14 and 15.

Answers

The answer is : square root of 14 is between 3 and 4
√14= 3.74

Answer:

The square root of 14 is between 3 and 4.

Step-by-step explanation:

The answer would be that because the square root of 14 is  3.74165738677. HOPE THIS HELPS! CAN I HAVE BRAINLIEST?!

if you answer this question your cool

Answers

Answer:

D. 40

Step-by-step explanation:

Triangles add up to 180 degrees so...

110 + 30 + x = 180

140 + x = 180

x = 40

Yeah Ik!

You're cool too!

Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts

Answers

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

ir x+2 has a value of 5. then which of the following is the value of x(x+2)+3(x+2)? Show the work
that leads to your answer.
(1) 30
(3) 15
(2) 25
(4) 10

we are using binomials

Answers

Answer:the answer is 1)30

Step-by-step explanation:

The United States Capitol is

located at (2, 4) on a coordinate grid. The White

House is located at (-10, 16) on the same coordinate

grid. Find two different points on a segment joining

the United States Capital and the White House such

that the ratio of the two shorter segments created by

each point is 1:3.

Answers

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Complete the statement relating solutions and roote

Answers

There as no problems to solve srry

Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?​

Answers

Answer:

6

Step-by-step explanation:

11 - -5 = 6

The temperature at noon is 6 degrees Celsius.

Given

Suppose it was -5 degrees Celsius at 6:00 a.m.

By noon, the temperature had increased by 11 degrees.

What is temperature?

Temperature declines as altitude increases.

The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.

The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.

The temperature in noon = -5 + 11

The temperature in noon = 6 degrees.

Hence, the temperature at noon is 6 degrees Celsius.

To know more about Temperature click the link given below.

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HELP ME I NEED HELP EASY 10 POINTS

Answers

Answer:

X = 14

give me brainliest please

Step-by-step explanation:

3x + 29 = 7x - 27

3x + 56 = 7x

56 = 4x

x = 14

Find the value of a for which the solution of the inequality is all real numbers

a(x + 3) < 5x + 15 - X

Answers

Answer:

x = 3

Step-by-step explanation:

 (3 • (5x - 15)) -  15 • (x - 3)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  5x - 15  =   5 • (x - 3)  

Equation at the end of step

3

:

 15 • (x - 3) -  15 • (x - 3)  = 0  

STEP

4

:

Pulling out like terms

4.1      Pull out     15  

Pulling out like terms :

4.2      Pull out     x-3  

After pulling out, we are left with :

     15 • x-3 • ( 1  *  1 +( (-1)  *  (-1) ))

Equation at the end of step

4

:

 30 • (x - 3)  = 0  

STEP

5

:

Equations which are never true

5.1      Solve :    30   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

One solution was found :

x = 3

The required value of a for which the solution of the inequality is all real numbers is a > 4.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

a(x + 3) < 5x + 15 - x

or, a(x + 3) < 4x + 15

Now let us solve for x first,

⇒ ax + 3a  < 4x + 15

Subtract 3a from both sides we get,

ax < 4x + 15 - 3a

Subtract 4x from both sides we get,

ax - 4x < 15 - 3a

or, (a - 4)x < 15 - 3a

Dividing both the side by (a - 4) we get,

x < (15 - 3a) / (a - 4)

Now for solutions to be real numbers,

a - 4 > 0

subtracting 4 both the side we get,

⇒ a > 4

this is the required value of a for which the solution of the inequality is all real numbers

Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.

To learn more about inequality :

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6x + 1 = 6x - 8 what is the value of x

Answers

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

HELP ASAP!!!!! I’ll give u brainlest

Answers

Answer:

first one (382,000)

Step-by-step explanation:

just multiply by 10^5

Answer:

382000

Step-by-step explanation:

3.82*100*1000=382*1000=382000

Simplify√16 r6
A) 4r2
B) 4r3
C) 8r2
D) 8r3

Answers

Answer:

B) [tex]4r^{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{16r^{6}}=\sqrt{4*4* r^{(3*2)}\\[/tex]

          [tex]=\sqrt{4^{2}*(r^{3})^{2}}\\\\=4*r^{3}\\\\=4r^{3}[/tex]

Answer:

B)  4r3

Step-by-step explanation:

Hope this helps.

plesse answer this question​

Answers

Answer:

number 2......................

Select three ratios that are equivalent to 8:58,
Choose 3 answers:

(Choice A)
A
16:10

(Choice B)
B
50:80

(Choice C)
C
48:30

(Choice D)
D
32:20

(Choice E)
E
64:35

Answers

Answer:

Step-by-step explanation:

Given expression:

     The ratio equivalent to 8:58

  let us first reduce this ratio to the simplest term:

      Divide by 2;

           4 : 29

A. 16: 10

   Reduce to the simplest term by dividing by 2;

      4 : 5

B . 50:80

    Reduce to the simplest term by dividing by 10;

      5 : 8

C. 48 : 30

   Reduce to the simplest term by dividing by 6:

       8 : 5

D.   32 : 20

    Divide through by 4;

      8 : 5

E. 64 : 35

   Cannot be further simplified

   

Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56

Answers

Answer:

16+56

Step-by-step explanation:

8(2 + 7)

=8*2+8*7

16+56

8(2+7)=
8(9)=
72

the only answer that equals the same as 72 in the choices is the last one..

16+56=
72

Which expression is equivalent?

- 5(2x -3y +4)

Answers

Answer:

A

Step-by-step explanation:

x3 = 0.008 what does the x equal

Answers

.2 because 2^3 is equal to 8. Which is 2*2*2=8.

If x is 6, then 7x =

Answers

42... by understanding that x is equal to 6, you set the problem up as 7(6) or 7x6 which equals 42. Hope this helps!

Answer:42

Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.

Write the explicit formula for the arithmetic sequence 6, 8, 10, 12, . . . What is term number 46 in this sequence?
Answer:

Answers

Answer:

102

Step-by-step explanation:

Chad sells custom T-shirts with five friends. They want to make enough money so that, after splitting the earnings evenly, each person earns 40

Answers

Answer: They earned 500 bucks in total

Answer:

They want to make 200 dollars

Step-by-step explanation:

40*5=200

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
A. 121
B. 7
C. 1.75
D. 30.25

Answers

C would be the answer

is 1,2 a function?
If it’s correct I will cashapp you :))

Answers

Answer:

yes

Step-by-step explanation:

Since there is one value of y for every value of x, this relation is a function.

The relation is a function.

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