Question

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

Answer 1

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}`