Step-by-step explanation:
<u>To make both equivalent</u>.
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.
Solve each equation for y and then the slope is m and y-intercept is b as in:

So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1
Hope this helps.