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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​

The following pairs of equations are equivalent Describe the operation that occurred in the second equation 3912 and 395125 class=

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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]