Solve this simultaneous e
x + y = 26
3x + y = 56

Answers

Answer 1

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer 2

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )


Related Questions

The slope of a line perpendicular to y = 2x + 1 is -2.
False
True

Answers

Answer:

incorrect.

Step-by-step explanation:

the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2

Answer:

False

Step-by-step explanation:

To find the slope of a perpendicular, flip the slope and change the sign.

The slope pf the given line is 2.

The slope of a line perpendicular to y = 2x + 1 is -1/2.

Answer: False

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

f(x)=2x 5 −13x 4 +22x 3 −187x 2 −160x+336

Answers

Answer:

i think 3

Step-by-step explanation:

Find 56(−4⋅27). Write your answer in simplest form.

Answers

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Question 1 (5 points)
Saved
(01.01 LC)

Which of the following is a rational number? (5 points)

square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:

1)

square root of 2

2)

square root of 3

3)

square root of 4

4)

square root of 5

Answers

Answer:

Square root of 4 is ans

Step-by-step explanation:

Answer:

4) square root of 4

Step-by-step explanation:

The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.

a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.

b. Predict how many years it will be until the account is worth $5,000.

Answers

Answer: did this on edge

a. 19 months

b. 27 years

Step-by-step explanation: hope this helps:)

1

Plug the function y=1000(1.005)^x into your graphing calculator.

2

Put a split screen table. Use the table to find where x months will equal $1100

3

~19 months=1100

4

Use the table to find where x months is equal to $5000.

5

~27 years=5000

RESULT

a. 19 months

b. 27 years

convert 53 yards per hour into inches per day

Answers

1 yard = 36 inches.

53 yards per hour x 36 inches per yard = 1908 inches per hour.

1 day = 24 hours.

1908 inches per hour x 24 hours = 45,792 inches per day.

The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.

Answers

Answer: 75.1

Step-by-step explanation:

Answer:

86.0*

Step-by-step explanation:

i am not 100% sure

A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture

Answers

Answer:

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

HELP PLEASE!!
What is Y

Answers

Did you see the SBA said JK element PQRS do you are you can you ask why are you now I wanna ABC BON BON

Please Help

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *

Answers

48/4 = $12 per ticket
12 * 11 = $132
It would cost $132 for 11 tickets

Answer:

4 tickets =$48

1 ticket = $48/4

= $ 12

11 tickets =11*$12

= $132

Divide. Write in simplest form.
3/4 divided by 1/8

Answers

Answer:

when you divide 3/4 by 1/8 you get 6

Which system of equations has no solution?

5 x + 5 y = 10 and 2 x + 2 y = 4

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

6 x + 2 y = 6 and 7 x + 3 y = 9

3 x minus 4 y = 16 and 2 x + 3 y = 5

Question #2

Two linear equations are represented by using the tables below.

A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.

The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.

On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).

What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)

Answers

Answer:

is (-3,-2)

Step-by-step explanation:

because you are graphing them on a chart find

Answer:

3 x minus 6 y = 4 and negative 4 x + 8 y = 7

Did the unit test review got it right.

Step-by-step explanation:

The y-intercept of 2x - y = 6 is -6.
O False
True

Answers

Answer:

It is true

Step-by-step explanation:

Convert to slope-intercept form:

2x-y=6

-y=6-2x

y=-6+2x

y=2x-6

Since y=mx+b is the form we want, then b=-6, making the statement true.

Answer:

true

Step-by-step explanation:

you switch the 2x to the other side to get -y = 2x + 6

then you multiply everything by -1 to get y = -2x-6

-6 is the y int

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

Merry Christmas please help

Answers

Answer:

A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence W

a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answers

Answer:

2 laps per second.

Step-by-step explanation:

30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.

6a-2z
Please help me

Answers

Answer:

2(3a-z)

cannot be further simplified

Step-by-step explanation:

sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck

Answers

Answer:

3 Hours

Step-by-step explanation:

If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D

how many milligrams (mg) are
in a levothyroxine 88mcg tablet?

Answers

Answer: 0.088 mg. Hope this helps!!

Can someone help me with 3 and 4

Answers

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.

Answers

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

I need help please I am having hard time doing this

Answers

i believe it’s undefined *shrugs* haven’t done those in a while

Answer:you are corect its negetive

Step-by-step explanation:

graph the image of triangle PQR after a reflection across the line y = 2​

Answers

Answer: Refer to the diagram below

P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)

================================================

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

R(-6,4)Q(1,9)P(-7,9)

Now all we have to do it plot these points, and then we have the triangle PQR



3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100

Answers

3,5×  3 + 4 × 7 =3 8,5

46*4-42=143      46* 2- 4 2=  50

5,83+4*2=13,83 5,83+4*100=405,83

Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below

Answers

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

Please help!!! I will make brainliest

Answers

This is correct mark me

Answer:

I believe that all should be checked except for f(x) = x^6 which u already didn't check

Step-by-step explanation:

The equation is y = ab^x and all the equations, except that one, follow this formula

Hurry please
I need the answer to this one in 2 minutes

Answers

Answer:

125

Step-by-step explanation:

45 ÷9=5

5² or 5×5=25

25×5=125

Hope this helps!

Answer:

I THINK ITS

Step-by-step explanation:

5x(2025 ÷81)

5x25

125

mean median mode range​

Answers

Answer:

I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.

Other:

Brainliest? Thanks!

[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]

[tex]median = middle \: \: most \: \: value[/tex]

[tex]mode = most \: \: occuring \: term[/tex]

[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]

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