Solve for y. 2y - 5 = 5y - 11

Question

asked Nov 17, 2023 76.0k views

1 Answer

Yunchi · Answer 1 · 2023-11-23T06:36:05+0000

Answer:

y = 2

Explanation:

Given equation:

2y - 5 = 5y - 11

Subtract 5y both sides:

$\implies 2y - 5 = 5y - 11$

$\implies 2y - 5 - 5y = 5y - 5y - 11$

$\implies -3y - 5 = -11$

Add 5 both sides:

$\implies -3y - 5 = -11$

$\implies -3y - 5 + 5 = -11 + 5$

$\implies -3y = -6$

Multiply -1 both sides:

$\implies -3y = -6$

$\implies (-3y)/(-1) = (-6)/(-1)$

$\implies 3y = 6$

Divide 3 both sides:

$\implies 3y = 6$

$\implies (3y)/(3) = (6)/(3)$

$\implies \boxed{y = 2}$