Bethany has $120 in her savings account and spends $8 a week at the candy store. Johnny has $75 in his savings account and spends $3 a week at the candy store. After how many weeks do they have the same amount in their savings account?

it will take 9 weeks for them to have the same amount in their account.

Step-by-step explanation:

Let x represent the number if weeks it will take for them to have the same amount in their savings account.

Bethany has $120 in her savings account and spends $8 a week at the candy store. It means that the amount that she would have in her account after x weeks is

120 - 8x

Johnny has $75 in his savings account and spends $3 a week at the candy store. It means that the amount that she would have in her account after x weeks is

75 - 3x

For both amounts to be the same, the number of weeks would be

120 - 8x = 75 - 3x

- 3x + 8x = 120 - 75

5x = 45

x = 45/5

x = 9

alot

step-by-step explanation:

its a wood chuck that can chuck wood

(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