45 Points, easy part of the question At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
I need (d).

x=cost of one of Tanya´s items.

Tanya spent: 3x

Tony spent:4(x-2.25)

We can suggest this equation:

3x=4(x-2.25)

We solve this equation:

3x=4(x-2.25)

3x=4x-9

3x-4x=-9

-x=-9

x=9

The individual cost of each person´s item would be:

cost of one of Tanya´s items=x=9

Cost of one of Tony´s items=(x-2.25)=6.75

the cost of one of Tanya´s items was $9, and the cost of one of Tony´s items was $6.75, the equation used was [  3x=4(x-2.25)  ] .

We check it out our

Tanya spent: 3x=3(9)=27

Tony spent:4(x-2.25)=4(9-2.25)=4(6.75)=27

Because Tanya spent the same amount of money than Tony, and Tanya bought 3 items and Tony bought 4 items, this solution is right.

Step-by-step explanation:

95.03 is the answer. hope this !

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!