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2 years ago

-3x + 9 = -18 what's the answer

Mathematics

2 answers:

Rudik [331]2 years ago

7 0

Answer:

x=9

Step-by-step explanation:

Hi there!

We are given the following equation:

-3x + 9 = -18

We want to solve for x

To do that, we need to isolate x on one side; the value of x (the answer) will be on the other side.

We can manipulate numbers in order to help us isolate x on one side.

First, let's remove 9 from the left side; subtract 9 from both sides

-3x + 9 = -18

- 9 -9

___________________

-3x = -27

Now, there are no more numbers on the left side, but we aren't done yet. The value of x is also equal to the value of 1x.

In order to find the value of 1x, we can divide both sides by -3, as if you divide any number by itself, the result is 1. x doesn't get divided (there are no other numbers or variables to divide x by when we divide -3x by -3), so the result on the left side would be 1x, or x.

Therefore, we need to divide both sides by -3

-3x/-3 = -27/-3

x= 9

(the number is not negative because when you divide a negative by a negative, the resulting number is positive)

Hope this helps!

Art [367]2 years ago

6 0

Answer:

x=9

Step-by-step explanation:

subtract 9 from both sides.

-3x = -27

divide by -3

x=9

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write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

faust18 [17]

Answer:

$y = \frac{1}{5} x - 9$

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope $= \frac{rise}{run}$ . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, b). So, it becomes (0, -9).

Now that we have our slope (m ) = 1/5, and the y-intercept (b ) = -9, we can write the equation of the line as:

$y = \frac{1}{5} x - 9$

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).

Please mark my answers as the Brainliest if you find my explanations helpful :)