3x - y = 2 and 2x + y = 4
X=
y =

.The solution is

x = 1.2

y = 1.6

x=6/5

y= 8/5

Step-by-step explanation:

This is a system of equations, and you can solve it in different methods.

The method I chose was substitution

If you rearrange the 1st equation, you find that y=3x-2

You can substitute that into the second equation

This is how it will look like:

2x+3x-2=4

Now you can simplify the equation to 5x-2=4

Bring the 2 to the other side

Now the equation looks like this:

5x=6 ===> x=6/5

Now substitute this value in the first equation.

This is how it will look like:

3(6/5)-y=2

Now you can simplify the equation to 18/5-y=2

Bring the 2 to the other side and do the same for y

The equation will look like this:

18/5-2=y ===> y=18/5-2

Now subtract

You will get:
y= 8/5

For this case we will first look for the total cost of the purse.
 We then have the following rule of three:
 14.95 $ > 100%
 x > 105%
 Clearing x we have:
 x = (105/100) * (14.95)
 x = 15.6975 $
 The amount needed to buy the purse is:
 15.6975 - 10 = 5.6975 $
 
 holley needs 5.6975 $ to buy the purse