All categories

3 years ago

Given the equation 2(3x − 4) = 5x 6, solve for the variable. Explain each step and justify your process.

1 answer:

3 0

2(3x−4)=5x(6)

Simplify both sides of the equation.

2(3x−4)=5x(6))

(2)(3x)+(2)(−4)=5x(6)(Distribute)

6x+−8=30x

6x−8=30x

Subtract 30x from both sides.

6x−8−30x=30x−30x

−24x−8=0

Add 8 to both sides.

−24x−8+8=0+8

−24x=8

Divide both sides by -24.

−24x/−24 = 8/−24

x=−13

You might be interested in

A VISA CARD HAS A 3% CASH BACK BONUS FOR GAS AND A 1% CASH BACK FOR EVERYTHING ELSE. THIS MONTH YOU SPENT $1,500. 1/3 WAS FOR GA

oksian1 [2.3K]

Answer:

$25

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help help help guys show you solution

Mars2501 [29]

Answer:

Step-by-step explanation:

1) y = 2x ----------(I)

x + y = 6 -----------(II)

Plug in y =2x in equation (II)

x + 2x = 6 {Add like terms}

3x = 6

x = 6/3

x = 2

Plugin x = 2 in (I)

y = 2*2

y = 4

Check:

LHS = x +y

= 2 + 4

= 6 = RHS

2)5x + 10y = 3 ------------(I)

x = (-1/2) y ------------(II)

Substitute x = (-1/2)y in (I)

$5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}$

Substitute y = (2/5) in equation (II)

$x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}$

Check:

Substitute x and y value in equation (I)

$LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS$

3) y - x = 3x + 2

y = 3x + 2 + x

y = 4x + 2 ---------------(I)

2x + 2y = 14 - y

2x + 2y +y = 14

2x + 3y = 14 ------------------(II)

Substitute y = 4x + 2 in equation (II)

2x + 3(4x +2) = 14

2x + 3*4x + 3*2 = 14

2x + 12x + 6 = 14

14x + 6 = 14

14x = 14 - 6

14x = 8

x = 8/14

x = 4/7

Substitute 'x' value in (I)

$y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}$

Check:

 $LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS$ 

6 0

3 years ago

ASAP Please need help with variables and coefficients, solve all please. First correct answer gets brainliest.

olganol [36]

Variables are the letters in the equation (like x and y)

Coefficients are the numbers before the variables. (like "6" in "6x")

Constants are the actual numbers (like "2" or "1")

Factors: Numbers that are multiplied together (like "5" and "6" in 5 * 6)

5) 4b + 6

Variable: b

Coefficient: 4

Constant: 6

6) 7x + 8h - 3

Variables: x, h

Coefficients: 7, 8

Constants: -3

7) 12 + 2a + 5b

Variables: a, b

Coefficients: 2, 5

Constants: 12

8) 5 + (7 * 8)

Factors: 7 and 8

7 0

3 years ago

What is 10,000 less than 30,427.169?

julsineya [31]

Answer:

Hey!

10,000 less than 30,427.169 is 20,427.169

Step-by-step explanation:

We just do 30,427.169 - 10,000 which gives us 20,427.169

30,427.169

- 10,000.000 (make sure to have the columns aligned...)

_______________

20,427.169 (subtract all the numbers from 30,427.169)

<h2>I HOPE THIS HELPED YOU!</h2>

4 0

3 years ago

What is the volume of the prism. 4.1 2.8 5.1

Fed [463]

So, when finding the volume, we would just add up every side, and from the question above, it look like that the numbers that we would be adding are the following above.

$4.1+ 2.8+ 5.1=(11.2)$

The volume would be 11.2

3 0

4 years ago

Read 2 more answers