Sheila went shopping and spent $120 on a coat. she then used 2/3 of the remaining money to buy a dress. she was left with 1/5 of her original amount of money. how much did sheila have at first?

Answer

Find out the how much did Sheila have at first .

To proof

Let us assume that the original amount of money be x .

As given

Sheila went shopping and spent $120 on a coat.

Than

money sheila has =  x - 120

Than the equation becomes

L.C.M of (5,3) = 15

solving

600 +13x = 15x

600 = 15x - 13x

600 = 2x

x = $300

The shelia have money be $300 .

Hence proved

i cant see the graph

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