Solve the following formula for the indicated variable.
– 5x – 3y = 13: solve for y.

Answers

Answer 1

9514 1404 393

Answer:

  y = -5/3x -13/3

Step-by-step explanation:

In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:

multiply by -3add -5x

We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). Whatever we do to one side of the equation, we must also do to the other side.

So, first we add the opposite of -5x to both sides of the equation.

  -5x +5x -3y = 13 +5x

  -3y = 13 +5x . . . . . . . . . collect terms

Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.

  (-1/3)(-3y) = (-1/3)(13 +5x)

  y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form


Related Questions

What is 8 2/5 minus 5/8

Answers

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?

Answers

Answer:

m = 8

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Read more about expressions at:

https://brainly.com/question/4344214

Question
-8 – (-3) =

Answers

Answer:

-5

Step-by-step explanation:

-8 - -3 basically forget about the - just do the question 8 - 3 then u get 5 then add the - sign

Answer:

Step-by-step explanation:

-5

-8 -(-3)=

-8+3=

-5

Write the equation x2 + 6x + y2 – 8y = 19 in standard form.

Question 11 options:


1)
(x + 3)2 + (y – 4)2 = 44


2)
(x + 3)2 + (y – 4)2 =


3)
(x – 3)2 + (y – 4)2 =


4)
(x + 3)2 + (y + 4)2 = 44

Answers

Answer:

i think its 2

Step-by-step explanation:

The equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given the equation as;

x² + 6x + y² - 8y = 19

We need to find the standard form of the equation.

Thus, we have,

(x²  + 6x )+(y²- 8y) = 19

We shall complete the square for the term;

(x²  + 6x + 9 - 9 ) + (y² +  4y + 16 - 16) = 19

Simplifying, we get,

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16

Formula used :

x²+2xy+y² = (x+y)²

x²-2xy+y² = (x-y)²

Simplifying, we get,

(x + 3)² + ( y - 4)² = 44

Thus, the equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.

Hence, Option A is the correct answer.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour ​

Answers

Answer:

36 miles (b+C) (3)of rate

Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.

Answers

-7/20
The answer and I will explain in the comment

What is the density of the glass in 2.5 g/cm in kg/m

Answers

We are given:                                                                                                        

Density of glass in g/cm³ = 2.5

Finding the density in kg/m³:                                                                              

In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg

Converting the g to kg:

2.5 g/cm³ * 1

Since 1kg = 1000g, 1kg/1000g = 1

2.5 g/cm³ * 1kg / 1000g

the g in the numerator and the denominator will cancel out and we will get:

2.5 kg / 1000 cm³

Converting the cm³ to m³:

We know that 1 m³ = 10⁶ cm³

So, 10⁶ cm³ / 1 m³ = 1

Multiplying the density by 1

2.5 kg / 10³ cm³   *   1

2.5 kg / 10³ cm³   *   10⁶ cm³ / 1 m³

the cm³ in the numerator and the denominator will cancel out

2.5 * 10⁶ kg / 10³ m³

2.5 * 10³ * 10³ kg / 10³ m³

2.5 * 10³ kg / m³

2500 kg/m³

PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO

Answers

Answer:

6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)

   360 feet in 5 minutes = 72 feet in 1 minute

7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)

   $14 for 20 ounces = $0.70 for 1 ounce

8. 72 people in 6 hours = 12 people in 1 hour

    117 people in 9 hours = 13 people in 1 hour (greater rate per hour)

Answer:

A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours

Graph the function.


f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answers

Answer:

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Step-by-step explanation:

We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]

So,  we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)

pls help asap no trolls!!

Answers

Answer:

10

Step-by-step explanation:13+4>а>13-4

a>9

!! PLEASE help !

Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .

Answers

Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).

For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).

Solve the equation. m + (–4) = –9 5 36 –5 –13

Answers

4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

What fraction is shown on the number line?

Answers

the answer should be 7/10!

Answer:

7/10

Step-by-step explanation:

Solve.
X = -7
4x - 4y = 12
(x,y)

Answers

Answer:

(-7, -10)

[tex]x=-7\\y=-10[/tex]

Step-by-step explanation:

[tex]4x-4y=12[/tex]

Substitute x for -7.

[tex]4(-7)-4y=12[/tex]

Multiply 4 by -7.

[tex]-28-4y=12[/tex]

Add 28 on both sides.

[tex]-4y=40[/tex]

Divide -4 on both sides.

[tex]y=-10[/tex]

y = -3x + 3
-3x - y = -6

Answers

Answer:

let it be equation 1 and 2

Step-by-step explanation:

-3x -(-3x+3) =-6

-3x +3x -3= -6

0x = -3

x = 0

y = -3(0) +3

y = 3

What is the scale factor of 9/10=21/x what is x

Answers

9x= 210
X=210/9
X=23.33........

Choose Yes or No to tell if the decimal 0.43 will make each equation true.

103 × □ = 430
Choose...

101 × □ = 4.3
Choose...

104 × □ = 43,000
Choose...

102 × □ = 43
Choose...

Answers

Answer:

None will .

Step-by-step explanation:

103 × 0.43 = 44.29

101 × 0.43 = 43.43

104 × 0.43 = 44.72

102 × 0.43 = 48.86

__ + 15 - 15 = 21
what is the blank number

Answers

Answer:

Step-by-step explanation:

21 is the blank number as +15 and -15 cancels out

Answer:

the answer is 21

Step-by-step explanation:


[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]

Answers

Answer:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8)  .... remainder  7x+8

Step-by-step explanation:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder  7x+8

Use long division method


PLEASE HELP ASAP WORTH A LOT OF MY GRADE

Answers

Answer:

D

Step-by-step explanation:

Im almost positive its d because for triangles you multiply by radical two for when its 45 degrees then the side for the one part of the triangle would be 26 radical 2 multiplied by 39 to get 1397.243 then you double that to get d

Divide. Write your answer in scientific notation.
8 103
2 x 103

Answers

Answer: = 8.346296 × 106

Step-by-step explanation:

19 - k = 4.




I need help​

Answers

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

15x+98=105 What is the value of x and please show your work. :) ​

Answers

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

y’all what is this evaluated ?

Answers

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.

Answers

Answer:

8000

Step-by-step explanation:

If the area of each of the triangular regions is as shown, what is the area of the polygon?

18
17
16

Answers

Answer:

18

Step-by-step explanation:

The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D

Answers

Answer is c in the photo
the correct answer would be C. also you’re welcome
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