The following pairs of equations are equivalent. Describe the operation that occurred in the second equation. 3+9=12 and 3+9-5=12-5
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Answer:
See explanation
Step-by-step explanation:
A. Given the equation
[tex]3+9=12[/tex]
Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation
[tex]3+9-5=12-5[/tex]
B. Given the equation
[tex]x-4=7[/tex]
Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation
[tex]x-4+4=7+4[/tex]
C. Given the equation
[tex]2(6)=12[/tex]
Using the division property of equality (dividing both sides of equation by 2), we'll get an equivalent equation
[tex]\dfrac{2(6)}{2}=\dfrac{12}{2}[/tex]
D. Given the equation
[tex]\dfrac{x}{2}=5[/tex]
Using the multiplication property of equality (multiplying both sides of equation by 2), we'll get an equivalent equation
[tex]2\cdot \dfrac{x}{2}=2\cdot 5[/tex]