Mathematics, 02.10.2019 06:00 lordined5256

Solve the equations
1) 4x=-36
a. 9
b. -9
c. -40
d. 40

2) 5x-15=50
a. 13
b. -13
c. -7
d. 7

3) 4(x+2)-17=35
a. -11
b. 25/2
c. 15
d. 11

4) 6x+12=4x-18
a. -15
b. 15
c. -3
d. 3

5) 1/2(4x-10)+5=x-11
a. 11
b. 6
c. -11
d. -6

Answers: 2

Show answers

Answers

Answer from: Dolphin56

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

$x = \frac{-36}{4}$

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

$x = \frac{65}{5}$

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

$x = \frac{44}{4}$

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

$x = \frac{-30}{2}$

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

$\frac{1}{2}(4x-10)+5=x-11$

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

$x = \frac{-22}{2}$

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

Answer from: 902coo

1. The value of x is $\boxed{x = - 9}.$ Option (B) is correct.

2. The value of x is $\boxed{x = 13}$ . Option (A) is correct.

3. The value of x is $\boxed{x = 11}$ . Option (D) is correct.

4. The value of x is $\boxed{x = - 15}$ . Option (A) is correct.

5. The value of x is $\boxed{x = - 11}$ . Option (C) is correct.

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Explanation:

Part (1)

The given equation is 4x = - 36

Solve the above expression to obtain the value of x.

$\begin{aligned}4x &= - 36\\\frac{{4x}}{4}&= \frac{{ - 36}}{4}\\x&= - 9\\\end{aligned}$

The value of is $\boxed{x = - 9}.$

Part (2)

The equation is 5x - 15 = 50.

Solve the above expression to obtain the value of x.

$\begin{aligned}5x - 15 &= 50\\5x &= 65\\x&= \frac{{65}}{5}\\x&= 13\\\end{aligned}$

The value of is $\boxed{x = 13}.$

Part (3)

The equation is $4\left( {x + 2} \right) - 17 = 35.$

Solve the above expression to obtain the value of x.

$\begin{aligned}4\left( {x + 2} \right) - 17 &= 35\\4x + 8 &= 35 + 17 \\4x &= 52- 8\\4x &= 44\\x &= 11\\\end{aligned}$

The value of is $\boxed{x = 11}.$

Part (4)

The equation is 6x + 12 = 4x - 18.

Solve the above expression to obtain the value of x.

$\begin{aligned}6x + 12 &= 4x - 18\\6x - 4x &= - 18 - 12\\2x &= - 30\\x &= \frac{{ - 30}}{2}\\x &=- 15\\\end{aligned}$

The value of is $\boxed{x = - 15}.$

Part (5)

The equation is $\dfrac{1}{2}\left( {4x - 10} \right) + 5 = x - 11$

Solve the above expression to obtain the value of x.

$\begin{aligned}\frac{1}{2}\left( {4x - 10} \right) + 5 &= x - 11\\\frac{1}{2}\left( {4x - 10} \right) &= x - 11 - 5\\\left( {4x - 10} \right) &= 2\left( {x - 16} \right)\\4x - 10 &= 2x - 32\\4x - 2x &= - 32 + 10\\2x &= - 22\\x&= - 11\\\end{aligned}$

The value of is $\boxed{x = - 11}.$

Learn more

Learn more about the polynomial link Learn more about logarithm model link Learn more about the product of binomial and trinomial link

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: factor, factorization, 4x = -36, 5x-15=50, 4(x+2)-17=35, equation, value of x, division, multiplication, subtraction, solve the equation, solution, linear equation, line

Answer from: Quest

whats the question?

step-by-step explanation:

Answer from: Quest

Theirhgghh

Another question on Mathematics

Mathematics, 21.06.2019 14:00

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Answers: 3

Answer

Mathematics, 21.06.2019 17:10

Consider the following equation -167 + 37 = 49 - 21p select the equation that has the same solution as the given equation. o a. p - 5 + ip = 7 - p ob. +55 + 12p = 5p + 16 c. 2 + 1.25p = -3.75p + 10 d. -14 + 6p = -9 - 6p reset next

Answers: 3

Answer

Mathematics, 21.06.2019 19:20

What is x3+3x2−16x−48 divided by x−1?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Піf x = y and y= z, which statement must be true? оа. -x = -2 b. x= z ос. —x = 2 od. 2= x

Answers: 3

Answer

You know the right answer?

Solve the equations
1) 4x=-36
a. 9
b. -9
c. -40
d. 40

2)...