Question

Select the statement that best justifies the conclusion based on the given information. If x + 5 = 15, then x = 10. addition property of equality subtraction property of equality multiplication property of equality substitution

Answer 1

subtraction property of equality 

You subtract 5 on both sides of the first equation to get the result of the second equation.

Answer 2

Hello there!

Addition property of equality- is adding the same number to both sides of an equation it does not change the equation.

Example: t-6=13

First you had to add by six from both sides of an equation form.

$t-6=13$

$t-6+6=13+6$

Then simplify.

Final Answer: $\boxed{t=19}$

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Subtraction property of equality- is subtracting the same number from both sides of an equation it does not change the equation.

$x+5=15$

First you had to subtract by five from both sides of an equation form.

$x+5-5=15-5$

Finally, simplify.

$15-5=10$

Final Answer: $\boxed{x=10}$

Subtraction property of equality its going to be the correct answer.

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Multiplication property of equality- is multiplying both sides of an equation by the same number it does not change the equation.

Example: $\frac{t}{5}=3$

First you had to rewrite the original equation.

$\frac{5}{1}* \frac{t}{5}=3*5$

Then you substitute the value for the variable.

$\frac{5t}{5}=3*5$

$t=3*5$

Final Answer: $\boxed{t=15}$

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Division property of equality- is dividing both sides of an equation by the same non-zero number it does not change the equation.

Example: $\frac{10a}{10}= \frac{130}{10}$

First you had divide by ten from both sides of an equation form.

$\frac{10a}{10}= \frac{130}{10}$

Then substitute the value for the variable.

And finally simplify.

$130/10=13$

Final answer: $\boxed{a=13}$

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Hope this helps!

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-Charlie