Question is: Solve -7(x+6)=4(x+6)

Answers

Answer 1

Answer:

$\huge\boxed{x=-6}$

Hey there! Our goal here is to isolate the variable on one side of the equation.

$\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\n-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\n-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\n-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\n-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\nx&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}$

Answer 2

Answer:

Answer: The answer is x=–6.

Step-by-step explanation: Step 1: Simplify both sides of the equation:

$(-7)(x)+(-7)(6)=(4)(x)+(4 )(6)$ (Distributive Property)

$-7x+-42=4x+24$

$-7x-42=4x+24$

Step 2: Subtract 4x by the both sides: $-7x-42-4x=4x+24-4x$

$-11x-42=24$

Step 3: Add 42 to the both sides: $-11x-42+42=24+42$

$-11x=66$

And step 4: Divide both sides by -11: $(-11x)/(-11)=(66)/(-11)$ , $x=-6$ .

I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D

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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

The equation of line passes through points $\left({ - \,4, - \,3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$ .

Further explanation:

It is given that a line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

The slope of a line passes through points $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ is calculated as follows:

$m=\frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{ }}$ ......(1)

Here, the slope of a line is denoted as and points are $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ .

Substitute for ${x_1}$ , $-3$ for ${y_1}$ , $12$ for ${x_2}$ and $1$ for ${y_2}$ in equation (1) to obtain the slope of a line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

$\begin{aligned}m&=\frac{{1 - \left({ - 3}\right)}}{{12 - \left({ - 4}\right)}}\n&=\frac{{1 + 3}}{{12 + 4}}\n&=\frac{4}{{16}}\n&=(1)/(4)\n\end{aligned}$

Therefore, the slope is $(1)/(4)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y - {y_1}=m\left({x - {x_1}}\right){\text{}}$ ......(2)

Substitute for ${x_1}$ , $1$ for ${y_1}$ and $(1)/(4)$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y - 1&=(1)/(4)\left({x - 12}\right)\n4\left({y - 1}\right)&=x - 12\n4y - 4&=x - 12\nx - 4y&=8\n\end{aligned}$

Therefore the standard equation of line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ is $x - 4y = 8$ .

Thus, theequation of line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$

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3. What are the values of x?brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point

Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,910, how many children attended the concert?

Answers

5x630=3150. 3150-2910=240. 240/3=80. There were 80 kids.

What is 12.312 trillion in scientific notation?

Answers

The scientific notation of 12.312 trillion is $1.2312 * 10^(13)$ .

What is scientific notation?

Scientific notation is a means of representing large number numbers in standard form using power of 10.

The given number

= 12.312 trillion

There are 12 zeros in a trillion.

The scientific notation of 12.312 trillion is $12.312 * 10^(12) = 1.2312 * 10^(13)$ .

Learn more about scientific notation here: brainly.com/question/1199149

1.2312 x 10^13
A million is 10^6
A Billion is 10^9
A trillion is 10^12
12.312 trillion is 12.312 x 10^12 which is the same as 1.2312 x 10^13

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Answers

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Answers

The square root of 100 equals 10 because 10 times 10 equals 100

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Answers

7635*4/15
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