Need help with my math homework!!?

Question

8y - 3 = 17 - 2y

>>I'm really dumb at math soo yeah..hope you could help me out a little here!! Thanks.. :]<<

And also, i forgot, do you mind if u could do it like step by step?? :]

I need it to get the variables on the left :]

Answer 1

When solving for a single variable, it is important to remember that what you do to one side of the equivalence (equation) you must do to the other, for example:

2 = 2 : multiplying each side by 4 leaves you with a balanced equation.

2 * 4 = 2 * 4 or 8 = 8

Having established that, let's look at your problem.

8y - 3 = 17 - 2y First of all lets get all the y values on one side. We can do this by adding 2y to each side. Therefore:

8y + 2y - 3 = 17 + 2y - 2y or if we simplify the expression

10y - 3 = 17 next we will isolate the y values on one side by adding 3 to each side so:

10y + 3 - 3 = 17 + 3 or simplified

10y = 20 finally we reduce to a single value of y by dividing by 10

10y/10 = 20/10 or

y = 2

Answer 2

To solve a problem like this, you have to "isolate your variable", that is, get the unknown (in this case, y) by itself. You can do this by addition, subtraction, multiplication and division.

8y - 3 = 17 - 2y

Our first step is to get all the Ys on one side of the equation, so we'll add 2y, because 17 - 2y + 2y = 17. Since we added 2y to the right half, we have to add 2y to the left half to keep everything equal.

8y + 2y -3 = 17

Now, because of something called the "distributive property of multiplication", we can combine the 8y and the 2y. The distributive property says, in this case, that "8y+2y" means exactly the same thing as "(8+2)*y". Since the order of operations says the stuff in parenthesis takes priority over multiplication, we add 8+2 to get 10, and rewrite the problem as

10y - 3 = 17

Now, we do the same thing we did in the first step to get that minus 3 off the left hand side: add 3.

10y = 20

Now, divide both sides by 10 to get the y by itself.

y = 20/10 = 2

Answer 3

8y - 3 = 17 - 2y
10y = 20
y = 2

Answer 4

8y - 3 = 17 - 2y
8y + 2y = 20
10y = 20
y = 2

Answer 5

8y-3=17-2y
10y-3=17
10y=20
y=2

Answer 6

8y-3=17-2y
8y-3+2y=17-2y+2y (add 2y to each side)
10y-3=17 (combine like terms)
10y-3+3=17+3 (add 3 to each side)
10y=20 (combine like terms)
10y/10=20/10 (divide each side by 10)
y=2

Answer 7

8y-3=17-2y
10y-3=17
10y=20
y=2



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