3t + 7 = 2 +5t , then find the value of t.
2 answers:
Answer:
t = 5/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality <u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3t + 7 = 2 + 5t
<u>Step 2: Solve for </u><u><em>t</em></u>
[Subtraction Property of Equality] Isolate <em>t</em> terms: 7 = 2 + 2t [Subtraction Property of Equality] Isolate <em>t</em> term: 5 = 2t [Division Property of Equality] Isolate <em>t</em>: 5/2 = t Rewrite: t = 5/2
Answer:
<h2>t = ⁵⁄₂ or 2.5</h2>
Explanation:
3t + 7 = 2 + 5t
<em>Simplify both sides of the equation </em> 3t + 7 = 5t + 2
<em>Subtract 5t from both sides</em> 3t + 7 − 5t = 5t + 2 − 5t
−2t + 7 = 2
<em>Subtract 7 from both sides</em> −2t + 7 − 7 = 2 − 7
−2t = −5
<em>Divide both sides by -2</em>
−2t / -2 = −5 / -2
t = ⁵⁄₂
<em>Turn the fraction into a decimal</em> t = 2.5
t = ⁵⁄₂ or 2.5
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