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Question 270632: having problems with algebra, wanting to know the process and why you do it . i have a sum
7y=33-4y would love someone to help. thanks
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! your equation is:
7y = 33 - 4y
add 4y to both sides of this equation to get:
7y + 4y = 33 - 4y + 4y
simplify to get:
11y = 33
divide both sides by 11 to get:
11y/11 = 33/11
simplify to get:
y = 3
confirm by substituting for y in the original equation.
original equation is:
7y = 33 - 4y
substitute 3 for y to get:
7*3 = 33 - 4*3
simplify to get:
21 = 33 - 12
simplify to get:
21 = 21 confirming that y = 3 is a good answer.
as long as you do the same thing to both sides of the equation, the equality of the equation remains the same.
5 = 5
2*5 = 2*5 becomes 10 = 10 (equality remains unchanged)
5 = 5
5 - 15 = 5 - 15 becomes -10 = -10 (equality remains unchanged)
5 = 5
5/5 = 5/5 becomes 1 = 1 (equality remains unchanged)
all these equations are equivalent to 5 = 5 because they can be turned into 5 = 5 by simply reversing the process.
1 = 1 becomes 5 = 5 when you multiply both sides of the equation by 5.
-10 = -10 becomes 5 = 5 when you add 15 to both sides of the equation.
10 = 10 becomes 5 = 5 when you divide both sides of the equation by 2.
the equations, which represents the fact that the left side of the equation is equal to the right side of the equation, remains unchanged.
the expressions on each side of the equation are different, but the equality between the left side and the right side remains the same.
you can change the expressions on each side of the equation as long as the equality remains unchanged.
by the equations being equivalent, it means you can exchange one for the other.
5 = 5 is equivalent to 10 = 10 is equivalent to 1 = 1.
when you solve equations simultaneously, you make extensive use of the fact that the expressions on each side of the equations can be changed as long as you don't upset the equality of the equation itself.
x = 4 is equivalent to 2x = 8 is equivalent to 3x = 12, etc.
when you solve for x in all 3 of these equations, you get x = 4.
when you simplify an expression, you are reducing it to its simplest form until you can go no further.
that is not always necessary to reduce it to its simplest form, but some simplification is normally required.
5*4 simplifies to 20
3 * (5+3) simplifies to 3 * 8 simplifies to 24, etc.
11y/11 = 33/11 simplifies to y = 3. you simplify by performing the indicated operation in this case.
in other cases, you simplify by removing the parentheses, etc.
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