Move variables to the left by adding their opposites to both sides. Eliminate the opposites.
Move constants to the right by adding their opposites to both sides. Eliminate the opposites.
Collect the like terms by subtracting their coefficients and numbers.
Calculate the sum or difference. Extract the negative sign from the expression. Add the numbers.
Divide both sides of the equation by 5 and calculate the quotient.
Answer:
what is this russian math?
Step-by-step explanation:
Answer: B. perpendicular lines because they intersect at a right angle, making them perpendicular.
Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:
Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: 
). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:
Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:
Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: 
). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:
, which is equivalent to (dividing both the top and the bottom by 2) 
inches.
Hope this helps!
