If it costs $16.50 to bowl twice with a shoe rental and $28.50 to bowl 4 times with a shoe rental how much does the shoes cost

Shoe rent is $4.5

Step-by-step explanation:

Let the shoe rent is "x" which will remain the same irrespective of the number of bowling and "y" is bowling.

thus, x + 2y = 16.50

Rewrite, x = 16.50 - 2y

When bowling is 4 time then:

x + 4y = 28.50

Rewrite, x = 28.50 - 4y

Now solve both equations for the value of "y".

Thus, 16.50 - 2y = 28.50-4y

-2y + 4y = 28.50 - 16.50

2y = 12

y = 6

Insert y = 6 in the x - 2y = 16.50

x = 16.50 - 2y

x = 16.50 - 2 (6)

x = $4.5

Shoe rent is $4.5

(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