Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 2 Page 8

When are two equations equivalent?

The equations are equivalent.

Practice makes perfect

Two equations are "equivalent" when they have the same solution. To determine if the given equations are equivalent we will solve each one individually and then compare their solutions.

Equation 1

- 2x=10
x = - 5
The solution to Equation 1 is x=- 5.

Equation 2

- 5x=25
x= - 5
The solution to Equation 1 is also x=- 5. Since both equations have the same solution, we can conclude that the equations are equivalent.