you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?

Answers

Answer 1

Answer:

Does the side on which you choose to isolate the variable affect the solution?

No, because at the end you get an equation with a variable on one side only.

Why might you choose one side over the other?

To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.

Related Questions

which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50

Answers

Answer:

1 as

3/5 × 2/2 = 6/10

Step-by-step explanation:

Hope it helps

You bought a total of 6 pens and pencils for $4. If each
pen costs $1 and each pencil costs $.50, how many
pens and pencils did you buy?

Answers

Answer: 2 pens and 4 pencils.

Step-by-step explanation:

If you buy 2 pens it is equal to $2.

If you buy 4 pencils it is also equal to $2.

2+2=4

and 2 pens and 4 pencils is equal to 6 in total.

Answer

[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].

Linear Equation

The equation whose variables' highest power is one is known as linear equation.

To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.

How to solve the linear equations?

Let the number of pens bought be [tex]x[/tex].

and the number of pencils bought be [tex]y[/tex].

The total number of pens and pencils [tex]=6[/tex].

So, the first equation is,

[tex]x+y=6[/tex]

[tex]x=6-y[/tex] ... (i)

And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.

So, the second equation is,

[tex]x+0.5y=4[/tex] ... (ii)

Now, solve the pair of linear equations.

Put the value of [tex]x[/tex] in the equation (ii),

[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]

So,

[tex]x=6-4\\x=2[/tex]

Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].

Learn more about linear equations here- https://brainly.com/question/11897796

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(-1,-6)(-1,-3)(-1,-2)(-4,-2)(-4,1)(-4,4) range

Answers

Answer:

range is the y part and domain is the x so the range is the y coordinates

-6,-3,-2,-2,1,4

Step-by-step explanation:

Help me pleaseeee help help

Answers

Answer:

Step-by-step explanation:

How many of hours of work is normal for a shift?

Answers

Answer: 7-9

Step-by-step explanation: normal job hours

Like an 8, a 9-5 is what most people have so over 40 hours is overtime

How does the value of the 9 in 49.21 compare to the value of the 9 in 982.3?

Answers

the value of 9 in 49.21 is 9.00
but the value of 9 is 982.3 is 900

x^2+6x+5-4y-y^2 factorize




Answers

Answer:

(x+y+5)(x-y+1)

Step-by-step explanation:

factor by grouping

x^2+6x+5-4y-y^2

x^2+6x+9 - (y^2+4t+4) + 5-9+4

(x+3)^2 - (y+2)^2

(x+3+(y+2))(x+3-(y+2))

(x+y+5)(x-y+1)

Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado

Answers

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2

6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals

Answers

Ok so it would be 13

The area of a circle is 78.5 cm^2. What is the diameter of the circle?
-5 cm
-10 cm
-12.5 cm
-39.25 cm

Answers

Answer:

10cm

Step-by-step explanation:

78,5=pi.r^2

Answer5:

Step-by-step explanation:

make d the subject of the formula h= d/3 + 2

Answers

Answer:

d= 3h-6

Step-by-step explanation:

h= d/3+2

h-2= d/3

d= 3(h-2)= 3h-6

Answer:

d = 3h - 6

Step-by-step explanation:

[tex]h = \frac{d}{3} + 2[/tex]

subtract 2 on all sides :

[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]

multiply 3 on all sides:

[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]

open bracket:

[tex]d = 3h - 6[/tex]

Solve the system of equations.
y=3x + 24
y=9x

Answers

Answer:

x = 4

y = 36

Step-by-step explanation:

use substitution

y=3x+24

y=9x

therefore . 9x=3x+24

x = 4

sub 4 in for x and solve for y

y = 9(4) = 36

in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill

Answers

15 percent is correct

4. Factor: x2 – 36


Help please and show me the work on how to do it

Answers

Step-by-step explanation:

(X)^2 - (6)^2

= (x-6)(X+6)

Answer:

[tex](x - 6) \times (x + 6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 36[/tex]

write in exponential form.

[tex] {x}^{2} - {6}^{2} [/tex]

factor:

[tex](x - 6) \times (x + 6)[/tex]

6 4/5 + 3 2/3
add and simplify ​

Answers

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

Two less than the product of 3 and a number is equal to 6

Answers

Answer:

8/3

Step-by-step explanation:

Let x represent the number.

Create an equation to represent the situation, and solve for x:

3x - 2 = 6

3x = 8

x = 8/3

So, the number is 8/3.

solve
pls need help
pls answer now

Answers

k/3 + 4 - 5k = -2k / · 3

k + 12 - 15k = -6k

k - 15k + 6k = -12

-8k = -12 / : (-8)

k = 12/8

k = 3/2 ← the end answer

Answer: A)

the set of all natural numbers less than 15 write set build notation​

Answers

Answer:

{x : x Σ N, x<15}

Step-by-step explanation:

Set of all natural number less than 14 = {x : x Σ N, x<15}

how to find the sum of 12 and 36 using the gcf and distributive property

Answers

I don’t really know ask Siri

(2x + 5) + (x + 4) =

Answers

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

Nine times the difference of a number and 4 is the same as the product of 2 and the same
number plus 10. What is the number?

Answers

Answer:

x = 8

Step-by-step explanation:

9(x - 4) = 2(x + 10)

9x - 36 = 2x + 20

7x = 56

x = 8

Please mark as brainliest :)

Indicate which is the largest decimal in each of the following pairs.
0.0006 and 0.006

Answers

Answer:

0.006 is the larger decimal

Answer:

0.006 is the right answer

Step-by-step explanation:

Since (0.006) has the least amount of zeros after the decimal, it would be larger than the other decimal that has more zeros after the decimal.

what is the arithmetic sequence of a1=228 n=28 sn=2982

Answers

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

The graph of the reciprocal parent function, f(x) = ), is shifted 9 units
down and 11 units to the right to create the graph of g(x). What function is
g(x)?

Answers

Answer:

g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice

Step-by-step explanation:

I. If move right is +x and move down is -y

               then f(x) = [tex]\frac{1}{x}[/tex]

               +x = 11, -y = -9

                so g(x) = [tex]\frac{1}{x+11}-9[/tex]

Hope that help :D

Can anyone help with this please

Answers

Answer:

None

Step-by-step explanation:

Simply, the absence of s^-1 shows the answer as none

Can someone plz solve the math problem i attached as a screenshot. Thx

Answers

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Solve 1/3 (3x + 6) + 2x = 26

Answers

Answer: x = 8

Step-by-step explanation:

Given

(1/3) (3x + 6) + 2x = 26

Expand parentheses and apply the distributive property

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

Combine like terms

(x + 2x) + 2 = 26

3x + 2 = 26

Subtract 2 on both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

[tex]\boxed{x=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?

A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325

Answers

Answer:

D. - $75

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

- 160 + 125- 40

Add up to get the total change of:

-160 + 125 - 40 = - 75

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

PLS HELP! WILL GIVE BRAINLIEST

Answers

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

URGENT. I NEED TO DO IT

Answers

Answer:

[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

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