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

Steps:
1. [tex]2x + 5 = 19[/tex] (given)
2. [tex]2x + 5 - 5 = 19 - 5[/tex] (subtraction property of equality)
3. [tex]2x = 14[/tex] (subtract)
4. [tex]2x / 2 = 14 / 2[/tex] (division property of equality)
5. [tex]x = 7[/tex] (divide)

Justifications:
- given
- subtraction property of equality
- subtract
- division property of equality
- divide

Sagot :

GinnyAnswer
Sure! Let's go through the solution to the equation [tex]\(2x + 5 = 19\)[/tex] 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 to isolate the term with [tex]\(x\)[/tex]:
[tex]\[ 2x + 5 - 5 = 19 - 5 \][/tex]
- Justification: subtraction property of equality

3. Simplify the equation after subtraction:
[tex]\[ 2x = 14 \][/tex]
- Justification: subtract

4. Divide both sides of the equation by 2 to solve for [tex]\(x\)[/tex]:
[tex]\[ 2x / 2 = 14 / 2 \][/tex]
- Justification: division property of equality

5. Simplify the equation after division to find the value of [tex]\(x\)[/tex]:
[tex]\[ x = 7 \][/tex]
- Justification: divide

Matching each step with its justification, we get the following pairs:

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]\(2x / 2 = 14 / 2\)[/tex] - Justification: division property of equality
5. [tex]\(x = 7\)[/tex] - Justification: divide
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