QuestionAugust 26, 2025

Is the open sentence 3z=2z+5 true or false when z=5 true false

Is the open sentence 3z=2z+5 true or false when z=5 true false
Is the open sentence 3z=2z+5 true or false when z=5
true
false

Solution
4.2(216 votes)

Answer

true Explanation 1. Substitute z=5 into the equation Replace z with 5 in the equation: 3(5) = 2(5) + 5. 2. Simplify both sides Left side: 3 \times 5 = 15. Right side: 2 \times 5 + 5 = 10 + 5 = 15. 3. Compare both sides Both sides equal 15, so the equation is true.

Explanation

1. Substitute $z=5$ into the equation<br /> Replace $z$ with 5 in the equation: $3(5) = 2(5) + 5$.<br />2. Simplify both sides<br /> Left side: $3 \times 5 = 15$. Right side: $2 \times 5 + 5 = 10 + 5 = 15$.<br />3. Compare both sides<br /> Both sides equal 15, so the equation is true.
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