Final answer:
To solve for y in the inequality 3x - 5y ≥ -10x + 15, isolate y and solve the equation. The solution is y ≤ (13/10)x - (3/2).
Step-by-step explanation:
To solve for y in the inequality 3x - 5y ≥ -10x + 15, we need to isolate the variable y. We can do this by performing the same operations on both sides of the inequality to maintain equality. First, let's simplify the equation:
3x - 5y ≥ -10x + 15
13x - 10y ≥ 15
Next, let's isolate y by moving the 13x term to the right side of the inequality:
-10y ≥ -13x + 15
Now, divide both sides of the inequality by -10 (remember to reverse the inequality symbol when dividing by a negative number):
y ≤ (13/10)x - (3/2)
Therefore, the solution for y is y ≤ (13/10)x - (3/2).