Grace, Maci, and Kendra all have a large collection of earrings. The number of pairs of earrings in Grace’s collection is represented by x.
The number of pairs of earrings in Maci’s collection is three times the number of pairs in Grace’s collection.
Kendra has 4 earrings in her collection.
The total number of pairs of earrings in all three girls’ collections is 52.

How many pairs of earrings are in Maci’s collection?

36

Step-by-step explanation:

Kendra has 4 so 52-4 (so it's out of the way) now you have 48

Divide 48 by 3 (leaves you 16). It can't be 16 because you have to add 16 and the sum of 16 x 3. So, go down a few numbers

12 + (12x3) = 48 plus Kendra's 4 is 52

(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