How do you solve 3y - 4\leq - 103y410?

1 Answer
Jul 1, 2017

See a solution process below:

Explanation:

First, add color(red)(4)4 to each side of the inequality to isolate the yy term while keeping the inequality balanced:

3y - 4 + color(red)(4) <= -10 + color(red)(4)3y4+410+4

3y - 0 <= -63y06

3y <= -63y6

Now, divide each side of the inequality by color(red)(3)3 to solve for yy while keeping the inequality balanced:

(3y)/color(red)(3) <= -6/color(red)(3)3y363

(color(red)(cancel(color(black)(3)))y)/cancel(color(red)(3)) <= -2

y <= -2