Solve the formula 3x-8y=10 for y?

Question

1. Solve the formula 3x-8y=10 for y
2. Solve I x I = 5.5 in terms of x
3. Solve the equation 4x - 3(x - 3) = 6

Answer 1

Solve the formula 3x-8y=10 for y

since you have two variables and you want to try to solve for y, put y one one side and the rest on the other side,

3x - 8y= 10

3x - 3x - 8y= 10 - 3x

-8y = 10 - 3x

(-8 / -8 ) y = (10 - 3x ) / (-8)

y = (10 - 3x ) / (-8)

Answer: y = (10 - 3x ) / (-8)
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Solve I x I = 5.5 in terms of x
absolute questions.

So this one is a bit tricker, but I think we can figure out.
Everything in the abs will equal to the positive of its self, except 0, zero.

x = 5.5 you plug into the function,
I 5.5 I = 5.5 check

As I mention above, what else it may work?

the negative form? lets try

I -5.5 I = 5.5 check,
so both 5.5 and -5.5 work

Answer: x =5.5 and -5.5


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Solve the equation 4x - 3(x - 3) = 6

You have only one variable, x and number part, so you want to distributed the x first, then put x together and number together, then you can put x on one side and number on the other side.

4x - 3(x - 3) = 6

4x - 3x + 9 = 6 (note, since -- is +)

1x + 9 = 6

1x + 9 - 9 = 6 - 9

1x = -3

so you have x = -3

Answer: x = -3

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* still confused? write back

Answer 2

For the first formula, you need to equations. If there are an n amount of unknowns, you need an n amount of equations. However, you can solve for y in terms of x
In this case, you want to put y all by itself on one side of the equation.

3x - 8y = 10
Subtract 3x from both sides (to maintain equality)

-8y = 10 - 3x
then divide both sides by -8

y = (10 - 3x)/ -8

#2 the | | stands for absolute value, which is just the value of inside while ignoring the sign.
So |x| = 5.5 means x can either = 5.5 or -5.5 because the sign is ignored in absolute values.

#3 Just do the same as in #1 except for get the x by itself. You can multiply in the 3, add together the terms, etc.

Answer 3

1.
3x - 8y = 10
3x = 8y + 10
8y = 3x - 10
y = (3x-10)/8
Cannot be simplified further, as you have no idea what x is!

2.
|x| = 5.5
The absolute value is 5.5, which means that x is 5.5 units from 0. This can be in the positive or negative direction.
So x = 5.5 or x = -5.5

3.
4x - 3(x - 3) = 6
4x - 3x + 9 = 6
x + 9 = 6
x = -3

Answer 4

y = ( x - 2 ) ( x - a million ) If y = 0 , x = 2 , x = a million additionally if :- x ² - 3x + 2 = 0 x = [ - b ± ? ( b ² - 4 a c ) ] / 2 a x = [ 3 ± ? ( 9 - 8 ) ] / 2 x = [ 3 ± a million ] / 2 x = 2 , x = a million

Answer 5

Question 1
3x - 10 = 8y
y = (3/8) x - 5/4

Question 2
|x| = 5.5
x = 5.5 , x = - 5.5

Question 3
x + 9 = 6
x = - 3

Answer 6

1)8y=3x-10
y=3x-10 all over 8
2) x=5.5, x=-5.5
3)4x-3x+9=6
x=6-9
x=-3

Answer 7

1. y= 3/8 x - 5/4

2. x= + 5.5 , - 5.5

3. x = -3

Answer 8

1. y=3x/8 - 5/4
2. x=5.5
3. x= -3

Answer 9

y=3/8x-5/4
X=5.5 or -5.5
X=-3