Joes mother gave him 1/3 of the money in her purse. His father gave him 5.00. If they gave joe a total of 12.00, How much money did his mother have in her purse. Joes mother had $ money in her purse (Enter a number only and make sure to include the decimal and 2 numerical decimal places.)

Step-by-step explanation:

let the money in her purse be $x

1/3 of the money is 1/3x

Since his father gave him $5 and the total amount became $12

the expression for the total amount would be

12= 1/3x+5

We can now solve for x

12-5= 1/3x

1/3x= 7

cross multiply we have

x= 7*3

x= $21

Therefore the money in joes mother's purse is $21

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

probably .5

i can on others if necessary.