So we are given the expression:
÷ 
When we divide fractions, we must flip the second term and change the sign to multiplication:

And then we multiply across:

Then we can break apart all of the like variables for simplification:

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:



So then we multiply all of these simplified parts together:

So now we know that the simplified form of the initial expression is:
.
I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)
* do distributive multiplication
9 - 7x = 7 - 8x - 12
*move like terms
-7x + 8x = 7 - 12 - 9
* solve for x
x = 7 - 21
x = -14
To check, substitute x by its value -14
9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107
There is now 1/4 or half a liter left of juice still.
Answer:
x = 1 is correct !
Step-by-step explanation:
Formula for slope is y2 - y1 over x2 - x1
Just from looking at the first set of points I know that the slope is 0 or undefined because the line is vertical. There is no y intercept.
For the second one I know that it is a horizontal line meaning that there is no slope either. It does have a y intercept though.pointslopeform y = 4. Standardform y = 4