Math

Question Solve the linear inequality 9y16+7y9y \leq 16 + 7y for the value of yy.

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality 9y16+7y9y \leq16 +7y for yy.

STEP 2

First, we need to isolate yy on one side of the inequality. We can do this by subtracting 7y7y from both sides of the inequality.
9y7y16+7y7y9y -7y \leq16 +7y -7y

STEP 3

implify both sides of the inequality.
2y162y \leq16

STEP 4

Next, we divide both sides of the inequality by2 to solve for yy.
2y2162\frac{2y}{2} \leq \frac{16}{2}

STEP 5

implify both sides of the inequality to find the solution.
y8y \leq8The solution to the inequality 9y16+7y9y \leq16 +7y is y8y \leq8.

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