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Chapter 1: Q29. (page 49)

Solve the equation and check the solution.

5y+4=2y-4

Short Answer

Expert verified

The solution is y=-4.

Step by step solution

01

Step 1- Consider the equation.

Consider the equation 5y+4=2y-4.

Simplify the right-hand side of the equation and thus separate the terms of the coefficient of y on one side of the equation.

02

Step 2- Step description.

5y+4=2y鈭�45y+4=2y鈭�85y鈭�2y=鈭�8鈭�43y=鈭�12

03

Step 3- Step description.

Divide both sides of the equation by 3.

3y=鈭�12y=鈭�123y=鈭�4

Therefore, the solution is y=鈭�4.

04

Step 4- Verify the solution.

Substitute y=-4in the equation and simplify as follows:

5y+4=2y鈭�45鈭�4+4=2鈭�4鈭�4鈭�20+4=2鈭�8鈭�16=鈭�16

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is y=-4.

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