Question

Identify the property of equality that makes the Equation 1 and Equation 2 equivalent

Answer 1

Step-by-step explanation:

To make both equivalent.

For equation (I) multiply all through by 4

Now, from

x - 1/2 = x/4 + 3

it becomes

4(x) - 4(1/2) = 4(x/4) + 4(3)

--> 4x - 2 = x + 12.

This is your new equation (I) or you can call it equation (iii).

For equation (ii) multiply all through by 1 to make it equivalent to your new equation (I) or eqn (iii) if you wish.

Now from

4x - 2= x + 12

it becomes

1(4x) - 1(2) = 1(x) + 1(12)

--> 4x - 2 = x + 12

This is your new equation (ii) or you can call it equation (iv)

Therefore;

Equation 1 has to be multiplied by 4 and Equation 2 by 1 to make both equivalent.

New equation 1 is 4x-2=x+12

New equation 2 is 4x-2=x+12.