Harry earns $45 a week more than xena. george earns $18 a week less than xena. if harry earns the same amount in two weeks that george earns in three weeks, how much money does xena earn a week?

Xena earns $144 per a week.

Step-by-step explanation:

Harry earns - $ h

Xena earns - $ x

George earns -$ g

Harry earns $45 a week more than Xena.      h= x+45

George earns $18 a week less than Xena.     g = x - 18

If Harry earns the same amount in two weeks that George earns in three weeks

2h = 3g

So, we have the system of 3 equations:

h= x+45

g = x - 18

2h = 3g    (*)

Substitute values of h and g into equation (*)

2(x+45) = 3(x-18)

2x + 90 = 3x - 54

90+54 = 3x- 2x

x= 144  

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)