alleryStart learning →Solve: 7a - 3 = 13a + 7.
Aa=5/3
Ba=-10
Ca=-5/3
Da=2/3
Answer & Solution
Correct answer: C. a=-5/3
1. Since 13 is greater than 7, make the right side the variable side by subtracting 7a from both sides: -3 equals 6a plus 7.
2. Subtract 7 from both sides: -10 equals 6a.
3. Divide both sides by 6 to get a equals negative five-thirds.
4. Check: 7 times negative five-thirds, minus 3, equals 13 times negative five-thirds, plus 7.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.3 Solve Equations with Variables and Constants on Both Sides_
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