Question

If 3 times the difference of x and y is -30, and 2/3 of x plus 1/2 of y is 19, what are x and y

Answer 1

x = 12 and y = 22

Explanation:

It is given that,

3 times the difference of x and y is -30

3(x-y) = -30

3x-3y = -30 ....(1)

2/3 of x plus 1/2 of y is 19.

`(2x)/(3)+(y)/(2)=19\\\\(4x+3y)/(6)=19\\\\4x+3y=114\ ...(2)`

Add equation (1) and (2).

3x-3y + 4x+3y = -30 +114

7x = 84

x = 12

Put the value of x in equation (1)

3x-3y = -30

3(12)-3y = -30

36+30 = 3y

3y = 66

y = 22

Hence, the value of x and y are 12 and 22.