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3 years ago

System equations -2x-6y=-16

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

6 0

Answer:

x=−3y+8

Step-by-step explanation:

Step 1: Add 6y to both sides

−2x=6y−16

Step 2: Divide both sides by -2

−2x/−2 = 6y−16/−2

x=−3y+8

Im hoping this was very helpful : )

aalyn [17]3 years ago

3 0

All real numbers.
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Natasha2012 [34]

Answer:

19 pens, 7 pencils, 3 erasers

Step-by-step explanation:

Huxian needs to pack 171 pens

63 pencils

27 erasers

Hence the items can be divided in 9 bags

171/9

= 19

63/9

= 7

27/9

= 3

They can be packed in each bags as follows

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3 years ago

Write the following in slope-intercept form.

Umnica [9.8K]

Answer:

$\huge\boxed{y=4x-7}$

Step-by-step explanation:

Linear equations will always be in the form $y=mx+b$ , where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ( $\frac{\Delta y}{\Delta x}$ ), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a $17-1=16$ change.

The x value goes from 2 to 6, which is a $6-2=4$ change.

Now that we know both changes, we can divide the change in y by the change in x.

$\frac{16}{4}=4$

Now that we know the slope (4), we can plug it into our equation ( $y=mx+b$ ).

$y=4x+b$

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).