The Subtraction Property of Equality states that if a equals b, what must also be true for any number c?
Aa-c=b+c
Ba+c=b-c
Ca-c=b-c
Da*c=b*c
Answer & Solution
Correct answer: C. a-c=b-c
1. The property allows the same quantity c to be subtracted from both sides of an equation without changing whether it is true.
2. If a equals b, subtracting c from a and from b keeps both sides equal to each other.
3. Subtracting c from only one side, or multiplying both sides instead, would not preserve the equality in the same way.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_
Keep practising Solving Linear Equations and Inequalities
Browse all Solving Linear Equations and Inequalities questions for NY Regents Algebra I, or explore more Mathematics topics.
Related questions
Spot the broken stepOrder the equation-solving stepsSolve: -5 = (1/4)(8x + 4).Solve: a + 3/4 = (3/8)a - 1/2.Solve: 6 = (1/2)v + (2/5)v - (3/4)v.Solve: (1/6)y - 1/3 = 5/6.Classify the equation 5m + 3(9 + 3m) = 2(7m - 11), then state the solution.Classify the equation 10 + 4(p - 5) = 0, then state the solution.