Select all of the equations below that are equivalent to: –19 = –25k Use properties of equality. Multi-select Choices: (A)76 = –4 · –25k (B)–54 = –25k · 3 (C)–38 = 2 · –25k (D)–2 · –19 = 50k

Question

Select all of the equations below that are equivalent to:  –19 = –25k Use properties of equality.    Multi-select Choices: (A)76 = –4  ·  –25k (B)–54 = –25k  ·  3 (C)–38 = 2  ·  –25k (D)–2  ·  –19 = 50k

Bytelearn · Accepted Answer

Check Multiplication by -4: To determine if an equation is equivalent to –19 = –25k, we can perform operations that maintain equality. For choice (A), we check if multiplying both sides of the original equation by –4 gives us 76 = –4 · –25k. Calculation: –19 * (–4) = –25k * (–4) 76 = 100k This is not equivalent to the original equation.Check Multiplication by 3: For choice (B), we check if multiplying the original equation by 3 gives us –54 = –25k · 3. Calculation: –19 * 3 = –25k * 3 –57 = –75k This is not equivalent to the original equation.Check Multiplication by 2: For choice (C), we check if multiplying the original equation by 2 gives us –38 = 2 · –25k. Calculation: –19 * 2 = –25k * 2 –38 = –50k This is equivalent to the original equation because both sides are multiplied by the same factor, 2.Check Multiplication by -2: For choice (D), we check if multiplying –19 by –2 and –25k by 2 gives us an equivalent equation. Calculation: –19 * (–2) = –25k * 2 38 = 50k This is equivalent to the original equation because multiplying both sides by –2 is the same as multiplying both sides by 2 (since –2 * –1 = 2).

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