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Match each step to its justification to solve [tex]2x + 5 = 19[/tex].

1. [tex]2x + 5 = 19[/tex]
A. Given

2. [tex]2x + 5 - 5 = 19 - 5[/tex]
B. Subtraction property of equality

3. [tex]2x = 14[/tex]
C. Simplification

4. [tex]2x / 2 = 14 / 2[/tex]
D. Division property of equality

5. [tex]x = 7[/tex]
E. Simplification



Answer :

GinnyAnswer
Certainly! Let's solve the equation step-by-step and match each step to its justification.

1. Start with the given equation:
[tex]\[ 2x + 5 = 19 \][/tex]
Justification: Given

2. Subtract 5 from both sides of the equation:
[tex]\[ 2x + 5 - 5 = 19 - 5 \][/tex]
Simplifying both sides, we have:
[tex]\[ 2x = 14 \][/tex]
Justification: Subtraction property of equality

3. Next, divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{14}{2} \][/tex]
Simplifying both sides, we have:
[tex]\[ x = 7 \][/tex]
Justification: Division property of equality

Summarizing the steps and their justifications:

1. [tex]\( 2x + 5 = 19 \)[/tex]
- Justification: Given

2. [tex]\( 2x + 5 - 5 = 19 - 5 \)[/tex]
- Justification: Subtraction property of equality

3. [tex]\( 2x = 14 \)[/tex]
- Justification: Subtract

4. [tex]\( \frac{2x}{2} = \frac{14}{2} \)[/tex]
- Justification: Division property of equality

5. [tex]\( x = 7 \)[/tex]
- Justification: Divide

By following these steps, we have solved the equation [tex]\( 2x + 5 = 19 \)[/tex] and found that [tex]\( x = 7 \)[/tex].

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