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2 years ago

2/3 (6y - 4) = - 4y

Mathematics

2 answers:

kondaur [170]2 years ago

8 0

Answer:

all the variable arrange one side and number another side then do

Nookie1986 [14]2 years ago

7 0

Answer:

y = 1/3

Step-by-step explanation:

2/3 (6y - 4) = - 4y

2(6y-4)/3 = -4y

2(6y-4) = (-3)(4y)

y = 1/3

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1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

the answer Part 1) is the option A

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

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

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

the answer part 3) is the option D

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

the answer part 4) is the option D

$y=412$

8 0

3 years ago

Read 2 more answers

How to convert 4.5 into a decimal

zepelin [54]

Answer:

do you mean a fraction? if so..

Step-by-step explanation:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510= 9/2

which as a fraction means 4 and because you have 1 left over from the 9 its 4 1/2 or 4.5 :)

4 0

3 years ago

A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the

barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

$AD^{2} +BD^{2} =AC^{2}$

$(AD)^{2} +(30)^{2} =60^{2}$

$(AD)^{2} =60^{2}-(30)^{2}$

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0

3 years ago

Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown belo

nikklg [1K]

Answer:

The answers are at A, D, and E

Step-by-step explanation:

It's right on Edge

3 0

3 years ago

Read 2 more answers

What can be conclude about segment AB and CD?

Lelechka [254]

They are parallel to eachother

5 0

4 years ago

2/3 (6y - 4) = - 4y ​

2/3 (6y - 4) = - 4y