subject
Mathematics, 22.06.2019 21:10 julieariscar769

How can (1/2)x-5=(1/3)x+6 be set up as a system of equations? answers: a) 2y+x=-10 3y+x=18 b) 2y+2x=-10 3y+3x=18 c) 2y-x=-10 3y-x=18 d) 2y-2x=-10 3y-3x=18

Answers

ansver
Answer from: nook4boo

 C)

2y-x=-103y-x=18

Step-by-step explanation:

Set each side of the equation equal to y, then rearrange to standard form.

  (1/2)x -5 = y . . . left side of the equal sign

  x -10 = 2y . . . . multiply by 2

  -10 = 2y -x . . . . subtract x

__

  (1/3)x +6 = y . . . right side of the equal sign

  x +18 = 3y . . . . . multiply by 3

  18 = 3y -x . . . . . subtract x

The corresponding system of equations is ...

2y -x = -103y -x = 18
ansver
Answer from: christopherluckey7

third option.

Step-by-step explanation:

\frac{1}{2}x-5=\frac{1}{3}x+6 can be rewritten into two separate equationts:

\left \{ {{ y=\frac{1}{2}x-5} \atop {y=\frac{1}{3}x+6}} \right.\\\\

You can observe that this linear equations are written in Slope-Intercept form:

y=mx+b

  But the equations shown in options provided are written in Standard form:

Ax+By=C

Therefore, you need to move the x term to the left side of the equation (In each equation):

- For the first equation:

y-\frac{1}{2}x=-5

Simplifying:

\frac{2y-x}{2}=-5\\\\2y-x=-10

 - For the second equation:

y-\frac{1}{3}x=6

Simplifying:

\frac{3y-x}{3}=6\\\\3y-x=18

Then the system of equations is:

\left \{ {{2y-x=-10} \atop {3y-x=18}} \right.

ansver
Answer from: BustD0wnAnt

yes it can

Step-by-step explanation:

1/2x-5=1/3x+6

ansver
Answer from: antome

(06.01)  ⇒ The answer is the listed number 4.

(06.03) ⇒ The answer is C

Step-by-step explanation:

Ok, for the (06.01) what we should do is clear the X so we can later on replace it.

(1)  x + 4y = -9

(2)   x = -9 -4y   (at this point we are moving the 4y to the other side of the equation and since its positive in one side, it goes to the other with a minus on it.)

(3) x = -4y - 9  (all we do here is rearrenge the factors on the right side)

Then we should replace the x in the second equation with (3)

(4)  2x + 5y = −6

(5)  2(−4y − 9) + 5y = −6

And we find the answer thats listed.

(06.03)

First we need to write the equation given.

(1)   \frac{1}{2}  x - 5 = \frac{1}{3} x + 6

Now we work with each side for separate. Since both sides are equal to eachother we can make them equal to y to both sides.  And we get this two equations

(2)   y = \frac{1}{2} x - 5

(3)   y = \frac{1}{3} x + 6\\

We multiply (2) for 2 in both sides of the equation, to remove the fraction. And we will multiply (3) for 3 in both sides of the equation, to remove the fraction.

And we have this new system of equations.

(4)  2y = x - 10

(5)  3y = x + 18

Now we need to rearrenge the factors, and we will move the x  to the left side in both equations, and since both are positive, they pass with a minus sign on it.

So we get.

2y − x = −10

3y − x = 18

Thus the answer is C.

ansver
Answer from: gm2

2y-x= -10

3y-x = 18

Step-by-step explanation:

The correct option is . 2y-x = -10 ,  3y-x = 18

one half x − 5 = 1/2 (x-5)

one third x + 6 = 1/3 *(x+6)

1/2 x-5 = 1/3x+6 =y

y= 1/2x-5

y = 1/3x+6

Now,

y=x/2 -5     equation 1

y = x/3 +6    equation 2

By taking L.C.M of the first equation we get:

y=x/2 -5

y= x-10/2

Now multiply both terms by 2.

2y=x-10

2y-x= -10

Now lets solve second equation:

Take L.C.M of the second equation:

y = x/3 +6

y=x+18/3

Multiply both sides by 3

3y= x+18

3y-x = 18

Therefore the system of equations we get is:

2y-x= -10

3y-x = 18

ansver
Answer from: katerin4738

2y - x = -10

3y-x=18

Step-by-step explanation:

Set up as a system of equation

\frac{1}{2} x - 5 = \frac{1}{3} x + 6

To get system of equations, we set each side of the given equation equals to y

\frac{1}{2} x - 5=y

Multiply whole equation by 2. That is we multiply each term by 2

x - 10=2y

Subtract x on both sides

2y - x = -10 (first equation)

y = \frac{1}{3} x + 6

Multiply whole equaiton by 3

3y=x +18

Subtract x on both sides

3y-x=18 (second equation)

ansver
Answer from: aesthetickait

The system of equations is

x-2y=10

x-3y=-18

Step-by-step explanation:

we have

\frac{1}{2}x-5=\frac{1}{3}x+6

Let  set both sides of the equation separately equal to y

so

Left side

y=\frac{1}{2}x-5

Multiply both sides by 2 to remove the fraction

2y=x-10

Rewrite as standard equation

x-2y=10 -----> equation A

Right side

y=\frac{1}{3}x+6

Multiply both sides by 3 to remove the fraction

3y=x+18

Rewrite as standard equation

x-3y=-18 -----> equation B

therefore

The system of equations is

x-2y=10

x-3y=-18

ansver
Answer from: dawnmyers88

x + 4y = -9    2x + 5y  = -6

x = -4y - 9 plug into the 2x + 5y = -6 in place of the 'x'.

2(-4y -9) + 5y = -6 (The last option).

y = (1/2)(x) - 5     multiply each term by 2  to clear the fraction

2y = x - 10

y = (1/3)(x) + 6     multiply each term by 3 to clear the fraction

3y = x + 18

2y = x - 10      Rearranging 2y - x = -10

3y = x + 18                          3y - x = 18

LETTER C  

Read more on -

ansver
Answer from: patrickfutrell2537
For this case we have the following equation:
 (1/2) x - 5 = (1/3) x + 6
 We can rewrite the equation as a system of equations.
 We have then:
 y = (1/2) x - 5
 y = (1/3) x + 6
 
 a system of equations is
 y = (1/2) x - 5
 y = (1/3) x + 6
ansver
Answer from: jvontaemyles14
The best answer the question above is D.

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:40, Babymo
Te and given the triangle below, find the ratio of the middle side length to the perimeter. 8 feet 4 feet 6 feet
Answers: 3
image
Mathematics, 21.06.2019 19:00, jimena15
Lena reflected this figure across the x-axis. she writes the vertices of the image as a'(−2, 8), b'(−5, 6), c'(−8, 8), d'(−4, 2).
Answers: 2
image
Mathematics, 21.06.2019 20:30, alex7881
Which of the following best describes the figure?
Answers: 1
image
Mathematics, 21.06.2019 20:40, itsmaddierae11
Many companies that manufacture lightbulbs advertise their 60-watt bulbs as having an average life of 1000 hours. a cynical consumer bought 30 bulbs and burned them until they failed. he found that they burned for an average of m = 1233, with a standard deviation of s = 232.06. what statistical test would this consumer use to determine whether the average burn time of lightbulbs differs significantly from that advertised?
Answers: 2
You know the right answer?
How can (1/2)x-5=(1/3)x+6 be set up as a system of equations? answers: a) 2y+x=-10 3y+x=18 b) 2y+...

Questions in other subjects:

Questions on the website: 13576211