Answer:
y = 1/2
Step-by-step explanation:
Notice in this equation (x − y = 2) that there is "x".
Look at the other equation; it also has "x" (x = 5/2).
When the same variable is used, it has to be the same number.
Therefore x = x in both equations.
You can <u>substitute</u>, or replace one of the "x" with a value that another "x" is equal to => x = 5/2
We can replace the "x" in x − y = 2 using 5/2.
Take the longer equation
x − y = 2
(5/2) − y = 2 Substitute the value of "x"
5/2 − y = 2 Remove the brackets, they are not needed
Now <u>isolate "y"</u> to solve. This means to move everything that is <em>not</em> "y" to the right side, <u>keeping "y" on the left</u>.
When you move a number, do its reverse operation to the whole equation.
5/2 − 5/2 − y = 2 − 5/2 Subtract 5/2 on both sides
−y = 2 − 5/2 The 5/2's cancelled out on the left
Change "2" into fraction form because you need to subtract a fraction.
−y =
−y = Use a common denominator
−y = Both denominators are the same
−y = Combine over the same denominator
−y = Subtracted the numerators.
−y = Rewrite the negative
−y/-1 = Divide both sides by -1
y = Answer, solved for "y"