Question

What is the value of x in the equation 1/5x - 2/3y =30 when y =15 ?

Answer 1

`(1)/(5) *x- (2)/(3) *y=30 x/5 - 2*15/3=30 x/5 - 30/3 = 30 x/5 - 10 = 30 x/5 = 40 x = 40 x 5 x = 200`

Answer 2

Solve for x:
x/5 - 10 = 30
Put each term in x/5 - 10 over the common denominator 5: x/5 - 10 = x/5 - (50)/5:
x/5 - (50)/5 = 30
x/5 - (50)/5 = (x - 50)/5:
(x - 50)/5 = 30
Multiply both sides of (x - 50)/5 = 30 by 5:
(5 (x - 50))/5 = 5×30
(5 (x - 50))/5 = 5/5×(x - 50) = x - 50:
x - 50 = 5×30
5×30 = 150:
x - 50 = 150
Add 50 to both sides:
x + (50 - 50) = 50 + 150
50 - 50 = 0:
x = 150 + 50
150 + 50 = 200:
Answer: x = 200