Question

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​

Answer 1

Answer:

See explanation

Step-by-step explanation:

A. Given the equation

$3+9=12$

Using the subtraction property of equality (subtracting 5 from both sides of equation), we'll get an equivalent equation

$3+9-5=12-5$

B. Given the equation

$x-4=7$

Using the addtion property of equality (adding 4 to both sides of equation), we'll get an equivalent equation

$x-4+4=7+4$

C. Given the equation

$2(6)=12$

Using the division property of equality (dividing  both sides of equation by 2), we'll get an equivalent equation

$\dfrac{2(6)}{2}=\dfrac{12}{2}$

D. Given the equation

$\dfrac{x}{2}=5$

Using the multiplication property of equality (multiplying  both sides of equation by 2), we'll get an equivalent equation

$2\cdot \dfrac{x}{2}=2\cdot 5$