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Chapter 8: Q5. (page 400)

Solve the equation Check your solution.

11y+9-5y=-15

Short Answer

Expert verified

The solution of our given equation would be y=-4.

Step by step solution

01

Step 1. Given Information.

An equation: 11y+9-5y=-15

02

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

11y+9鈭�5y=鈭�15Givenequation6y+9=鈭�15鈥勨赌�Combiningliketerms6y+9鈭�9=鈭�15鈭�9鈥勨赌勨�勨赌勨�勨赌勨��Subtracting9frombothsides6y=鈭�246y6=鈭�246鈥勨赌勨�勨赌勨�勨赌勨��Dividingbothsidesby6y=鈭�4

Let us verify our answer by substituting y=-4 in our original equation.

11y+9鈭�5y=鈭�15Givenequation11(鈭�4)+9鈭�5(鈭�4)=鈭�15鈥勨赌勨�勨赌勨�勨赌勨�勨赌�Substitutingy=鈭�4鈭�44+9+20=鈭�15鈭�15=鈭�15

Since both sides of equation are equal, therefore, y=-4 is a solution of our given equation.

03

Step 3. Conclusion.

The solution of our given equation would be y=-4.

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