Solve for x, in terms of y: 2 3 x + 1 5 y = 2

(2/3) x - (1/5) y = 10. to solve for x in terms of y: (2/3) x - (1/5) y = 10. (2/3) x = 10 + (1/5) y. x = (10 + (1/5) y) (3/2). x = 15 + 3/10 y. if y = 0; x = 15. to solve for y in terms ...

x = 3 - 3/10y

Step-by-step explanation:

2/3 x + 1/5 y = 2

Solve for x

Subtract 1/5 y from each side

2/3 x + 1/5 y - 1/5y = 2-1/5 y

2/3 x = 2 - 1/5y

Multiply each side by 3/2 to isolate x

3/2 * 2/3x = 3/2 (2 - 1/5y)

Distribute

x = 3/2 * 2 - 3/2 * 1/5y

x = 3 - 3/10y