If4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number find the number show your work

1)

4·1/n = 3 + 5/2n

²⁾4/n = ²ⁿ⁾3 + 5/2n

8 = 6n + 5

6n = 8 - 5

6n = 3

n = 3⁽²/6

n = 1/2

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18