The sum of two numbers i'd 16. three times the larger number decreased by the smaller is 72. find the number

22, -6

Step-by-step explanation:

Create a system of equations.

x= the larger number

y=the smaller number

Using what you know, create the equations:

x+y=16

3x-y=72

Now add the two equations together. (elimination method)

    x+y=16

+  3x-y=72                (the y's cancel out)

     4x = 88               Divide.

       x = 22

Now plug in x=22 into one of your equations to solve for y.

x+y=16

22+y=16

y=-6

The numbers are 22 and -6.

-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

idn

step-by-step explanation: