Ask question

Ask question

All categories

3 years ago

6

What is the solution to this equation 2/3x+1=1/6×-7

1 answer:

Alika [10]3 years ago

7 0

Answer:

A . x= -16

Step-by-step explanation:

$\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16$

You might be interested in

PLEASE HELP ME!!!!!!!!!! 57-4t >(their is an egual sign under the less then sign)13

Alexandra [31]

57 - 4t > = 13.....subtract 57 from both sides
-4t > = 13 - 57
-4t > = - 44 ...divide both sides by -4, and change the inequality sign
t < = -44 / -4
t < = 11

u solve inequalities much like u do equations except for one very important rule. In an inequality, if u divide/multiply by a negative number, u have to change the inequality sign.

8 0

3 years ago

Read 2 more answers

A rectangle has a perimeter of 25 meters. If the lengths of the sides of the rectangle are multiplied by 7 to make a new rectang

juin [17]

Answer:

175 m

Step-by-step explanation:

We are given;

The perimeter of a rectangle as 25 m

We are required to determine the new perimeter if the sides of the rectangle are multiplied by 7.

We know that;

Perimeter of a rectangle = 2(L+W)

Therefore, initially;

2(L+W) = 25 m

Hence;

L + W = 12.5 m

if the sides are multiplied by 7, then;

New length = 7L

New Width = 7W

Thus;

New perimeter = 2(7L+7W)

= 14 (L + W)

but, L + W = 12.5

Thus;

New perimeter = 14 (12.5)

= 175 m

Therefore, the new perimeter will be 175 m

7 0

3 years ago

Please help me with this asap

Oduvanchick [21]

Answer:

The answer is 3

Step-by-step explanation:

5 0

3 years ago

Which point is a solution

Thepotemich [5.8K]

Answer:

what points

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Directions:Solve this equation

avanturin [10]

Answer:

-3.21538461538

Step-by-step explanation:

$\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}$

$\mathrm{Multiply\;both\;sides\;by\;5}:$ $5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5$

$\mathrm{Now\;we\;have\;}:$ $25+25x=12x-\frac{84}{5}$

$\mathrm{Subtract\;by\;sides\;by\;25}:$ $25+25x-25=12x-\frac{84}{5}-25$

$\mathrm{Thus\;we\;have}:$ $25x=12x-\frac{209}{5}$

$\mathrm{Subtracting\;12x\;from\;both\;sides}:$ $25x-12x=12x-\frac{209}{5}-12x$

$\mathrm{So\;then\;we\;have:}$ $13x=-\frac{209}{5}$

$\mathrm{Now\;divide\;both\;sides\;by\;13}:$ $\frac{13x}{13}=\frac{-\frac{209}{5}}{13}$

$\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}$

$\mathrm{Decimal\;form}:-3.21538461538$

<u><em>Kavinsky</em></u>

7 0

2 years ago