• Jami and Mami together had $32. Jami said, "If you give me $5, we'll have the
same amount." How much did each
one have?

Jami has $13.5

Mami has $18.5

Step-by-step explanation:

Let j = Jami's money

     m - Mami's money

j + m = 32

j = m -  5 (Since Jami basically has 5 less than Mami)

Substitute the j in the top equation

m - 5 + m = 32

2m - 5 = 32

Add 5 to both sides

2m - 5 = 32

2m = 37

Divide both sides by 2

2m/2 = 37/2

m = 37/2 = 18.5

Now plug the new m into the bottom equation

j = 18.5 - 5

j = 13.5

point a is the center of this circle.

the ratio of the lengths of (ef/bc) and (ad/ih) is 2: 1.

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3