Question
True or False Multiplying both sides of an equation by any number results in an equivalent equation.
Step 1
If we multiply both sides of an equation by the same non-zero number, we are essentially applying the same operation to both sides, which maintains the balance of the equation. Show more…
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True or false? (a) Adding the same number to each side of an equation always gives an equivalent equation. (b) Multiplying each side of an equation by the same number always gives an equivalent equation. (c) Squaring each side of an equation always gives an equivalent equation.
Equation and Inequalities
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True or False? a. Adding the same number to each side of an equation always gives an equivalent equation. b. Multiplying each side of an equation by the same number always gives an equivalent equation. c. Squaring each side of an equation always gives an equivalent equation.
Prerequisites
Solving Basic Equations
True or False? \begin{equation} \begin{array}{l}{\text { (a) Adding the same number to each side of an equation }} \\ {\text { always gives an equivalent equation. }} \\ {\text { (b) Multiplying each side of an equation by the same number }} \\ {\text { always gives an equivalent equation. }} \\ {\text { (c) Squaring each side of an equation always gives an equiv- }} \\ {\text { alent equation. }}\end{array} \end{equation}
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