21 less then four times a number is the same as six times the number plus 11. what is the number

-16 =n

Step-by-step explanation:

Let n= number

4n -21 = 6n +11

Subtract 4n from each side

4n-4n -21 = 6n-4n +11

-21 = 2n+11

Subtract 11 from each side

-21-11 = 2n

-32 = 2n

Divide by 2

-32/2 = 2n/2

-16 =n

x = - 16

Step-by-step explanation:

Let the number = x

Read the phrases just a little at a time.

is which means =

So put the two parts together.

Equation

4x - 21 = 6x + 11                   Add 21 to both sides

Solution

4x - 21 + 21 = 6x + 11 + 21    Combine

4x = 6x + 32                         Subtract 6x from both sides.

4x - 6x = 6x - 6x + 32          Combine

- 2x = 32                               Divide by -2

-2x/-2 = 32/-2

x = -16

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3