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Big Ideas Math Integrated I, 2016
BI
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?

Yes, see solution.

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
DivEqn

.LHS /(- 2).=.RHS /(- 2).

x = - 5

The solution to Equation 1 is x=- 5.

Equation 2

Now let's solve the second equation.

- 5x=25
DivEqn

.LHS /(- 5).=.RHS /(- 5).

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.

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