1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katena32 [7]
3 years ago
6

Solve the equation for y. 6y+x=8

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

The correct answer is \bold{y = -\frac{1}{6}x+\frac{4}{3}}.

Step-by-step explanation:

We want to solve for y in the given equation. We can do this by rearranging the equation and using operational techniques to simplify.

6y + x = 8 \ $\tex Subtract x from both sides of the equation.

6y + x - x = 8 - x \ $\tex Carry out the operation.

6y = 8 - x \ $\tex Rearrange so the equation lists the variables first and the constants second.

6y = -x + 8 \ $\tex Create a coefficient for the x-variable (this is -1).

6y = -1x + 8 \ $\tex Divide by 6 on both sides of the equation in order to isolate the y-variable.

\frac{6y}{6}=\frac{-1x}{6} + \frac{8}{6} \ $\tex Carry out this operation by simplifying the fractions and dividing out the operations accordingly.

y = -\frac{1}{6}x+\frac{4}{3} \ $\tex Be sure to verify that all fractions and terms are simplified as far as they can be and that the equation is written in proper syntax.

Because we have the <em>y</em>-variable isolated from the rest of the equation, we are done!

You might be interested in
In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2
Elena L [17]

The equation in the reduced form of the equation is \rm 4p^ 2 + 6p - 8.

Given that,

Equation; \rm  2p^ 2 + 3p - 4\  by\  -2p ^2 - 3p +4

We have to reduce the equation.

According to the question,

To reduce the equation means we need to subtract one equation from the other.

To determine the reduced form of the equation following all the steps given below.

Equation; \rm  2p^ 2 + 3p - 4\  by\  -2p ^2 - 3p +4

Subtraction equation 1 from equation 2,

\rm  = \rm  2p^ 2 + 3p - 4\  -(-2p ^2 - 3p + 4)\\\\=  2p^ 2 + 3p - 4\  -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8

Hence, The equation in the reduced form of the equation is \rm 4p^ 2 + 6p - 8.

For more details refer to the link given below.

brainly.com/question/1807316

3 0
2 years ago
What is the ratio of 36 to 20 in simplest form?
ollegr [7]
36:20            18:10
--------    =     --------      = 9:5
    2                  2

6 0
3 years ago
Read 2 more answers
Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe
elena-s [515]

Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

5 0
2 years ago
For the given angle 0, identify the reference angle, _
ankoles [38]

Answer:

π\6

Step-by-step explanation:

The reference angle is the smallest angle measured from the terminal side of the angle (where the angle ends) to the x axis. The reference angle is an acute angle (i.e less than 90° or π/2)

For O = 11π/6 = 1.833π

1.833π is in the fourth quadrant between 3π/2 radians and 2π radians. Since it is in the fourth quadrant, the reference angle is given as:

reference angle = 2π - 11π/6 = π\6

5 0
3 years ago
Is 1/4 more than 7/3
IrinaVladis [17]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 199,22 - 100
    10·2 answers
  • Find the greatest integer value of $b$ for which the expression $\frac{9x^3+4x^2+11x+7}{x^2+bx+8}$ has a domain of all real numb
    9·1 answer
  • Simplify the expression.<br> (7.46)** . (7.46)
    15·1 answer
  • What two numbers multiplied equal 48 and when added together equal -13
    12·1 answer
  • Use the normal distribution of SAT critical reading scores for which the mean is 504 and the standard deviation is 112. Assume t
    6·1 answer
  • What is 7.25 sales tax on 275.00
    13·1 answer
  • Complete the equation of the line through (-9,7) and (-6,-3)
    15·1 answer
  • Is 10^85 an actual number?
    13·1 answer
  • The box plots show the grades of two different students in Ms.
    8·1 answer
  • Round 5,128,952,454 to the nearest billion.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!