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Big Ideas Math Integrated I, 2016 View details

1. Solving Simple Equations

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Exercise 5 Page 8

Use the Subtraction Property of Equality.

x=3, see solution.

Practice makes perfect

To solve the given equation for x, we need to isolate it by subtracting 5 from both sides of the equation. We want to subtract 5 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

x+5=8

SubEqn

LHS-5=RHS-5

x+5-5=8-5

SubTerms

Subtract terms

x=3

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

x+5=8

Substitute

x= 3

3+5? =8

AddTerms

Add terms

8=8 ✓

Since substituting x=3 resulted in an identity, our solution is correct.