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Tell whether the given value of the variable is a solution of the equation.

y4=-8;y=32

Short Answer

Expert verified

No, y = 32 is not the actual solution of the equationy4=-8.

Step by step solution

01

Apply the concept of equation:

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.

Example: 3x + 5 = 14 is an equation, in which 3x+5 and 14 are two expressions separated by an ‘’equal’’ sign.

02

What are the steps to solve an equation?

Step 1: Simplify each side of the equation by removing parenthesis and combining the like terms.

Step 2: Use addition or subtraction to isolate the variable term on one side (preferably in the left side).

Step 3: Use Multiplication or Division to solve for the variable.

03

Step 3: Tell whether the given value of the variable is a solution of the equation. y4  =  -8;  y  =  32

Solving the equation:

y4=84·y4=4·8[Multiplybothsidesby4]y=32

No, the solution of the equation is not y = 32, the correct solution is y = – 32

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