You can put this solution on YOUR website!
To use the addition method we first must multiply the 1st eqn by 3
.
(1) (9x -5y =4) * 3 = 27x -15y =12
.
(2) 27x -15y =8
.
.
If we subtract (1) from (2), we will get 8=12,,,which is never true
.
Therefore we have no solutions
.
.
another way to look at this is that both eqns are the same except for the y intercepts, therefore they are parallel lines,,,also with no solution
.

You can put this solution on YOUR website!
9x-12y=108,,,,,lets put in slope intercept form,,,,y=mx+b
.
subtract 9x both sides
.
-12y = -9x +108,,,,,,now,,,divide both sides by -12
.
y= (9/12)x - 9
.
.
now slope = m = 9/12 = 3/4
.
and y intercept = b = (-9)
.
.

You can put this solution on YOUR website!
y +9 = 12,,,,,,,subtract 9 both sides
.
y=3
.
.
check ,,,,3+9 =12,,,,,ok

You can put this solution on YOUR website!
s^3 -27s =0
.
s(s^2 -27) = 0
.
s=0
.
s^2 -27= 0
.
s^2 =27
.
s = +/- sqrt 27
.
s= +/- sqrt(9*3)
.
s= +/- sqrt 9 * sqrt3
.
s = +/- 3sqrt3
.
.
.
check,,s=0,,,,,0=0,,,ok
.
s=+3sqrt3...(3sqrt3)^3 -27(3sqrt3) =0,,,ok
.
s=-3sqrt3....(-3sqrt3)^3 -27(-3sqrt3) = 0,,,,,ok
.

You can put this solution on YOUR website!
sqrt x^100
.
sqrt x^(2*50)
.
(sqrt x^2)^50
.
x^50
.
.
check,,let x=4, 2^100,,,vs 4^50,,,,= 1.26 * 10^30,,,ok
.

You can put this solution on YOUR website!
sqrt7(1/9-1/25)
.
sqrt7 (25-9)/(9*25)
.
sqrt7 (16)/ (225)
.
16/225 * sqrt7
.
.

You can put this solution on YOUR website!
7sqrt5 -1 sqrt5 -5sqrt7 +1 sqrt7
.
6sqrt5 -4 sqrt7
.

You can put this solution on YOUR website!
5v =0,,,,,,v=0
.
7v-5=0
7v =5
v=5/7
.
5v-1=0
5v=1
v=1/5
.

You can put this solution on YOUR website!
Distance = Velocity * Time
.
D = 20 mi / hr * 35 sec * 1 hr / 3600 sec
.
D= .1944 mile * 5280 ft / 1 mi
.
D= 1026.67 ft
.
.
.
check,,,v = (1026.67 ft * 1 mi/5280 ft) /(35 sec* 1hr/3600sec)= 20 mi / hr,,,,ok

You can put this solution on YOUR website!
(-9,6)

You can put this solution on YOUR website!
50r^2 +40rd + 8d^2
.
(10r +4d)(5r +2d)
.
2(5r+2d)(5r+2d)
.
.
.
note, factors of 50 = 50*1, 25*2, 10*5
.
factors of 8 = 8*1, 4*2
.
.

You can put this solution on YOUR website!
40% * (1/4) + 50% * (1/5)
.
.4*.25 + .5*.2
.
.1 + .1
.
.2

You can put this solution on YOUR website!
we presume last right bracket is after the last 2
.
4[ -3{ (-1)^2-3 }^2 ]
.
4[ -3{ 1-3 }^2 ]
.
4 [ -3{2}^2 ]
.
4[ -3 {4} ]
.
4[ -12 ]
.
-48
.
.

You can put this solution on YOUR website!
We can partially factor with "grouping"
.
x^6 +x^4 +x^2 +1
.
x^4(x^2+1) +1(x^2+1)
.
(x^4+1)(x^2+1)
.
any further factoring would require imaginary numbers
.

You can put this solution on YOUR website!
with a "normal" die,,,each side has equal chance, with 6 total possibilities.
With the weighted die,,#4,,, has 4 chances,,making the total 4+5=9
.
All of the unweighted sides have a probability of 1/9 .
.
The weighted side has a probability of 4/9.
.

You can put this solution on YOUR website!
2x + 5 < 13,,,,,,,,,subtract 5 both sides
.
2x < 8,,,,,,,,,,,,divide both sides by 2
.
x<4,,,,,,,answer
.
.
check, let x =3,,,,,,,,2(3) + 5 < 13,,,,,,11<13,,,,ok
.

You can put this solution on YOUR website!
Let x = smaller number,,,,,,,and y= larger number
.
(1) y=x+13
.
(2) y= 3/2 * x,,,,,,,,,subst
.
x+13 = 3/2 * x,,,,,,,subtract x both sides
.
13 = 1/2 * x,,,,,,,,,,multiply by 2 both sides
.
26 = x,,,,,,,
.
y= x+13 = 26 +13 = 39,,,,,,,,
.
.
check,,(1) 39 = 26 + 13,,,,,ok
.
(2) 39 = 3/2*26 = 39,,,,,,ok
.
.

You can put this solution on YOUR website!
3-4q=10q+10,,,,,,,add 4q,,,,subst 10,,,,,both sides
.
-7 = 14q,,,,,divide by 14
.
- 1/2 = q
.
.
check,,,,3-4(-1/2) = 10(-1/2) +10 = 5,,,,,ok
.

You can put this solution on YOUR website!
12 + 6 * 4 / 2
.
12 + 24/2
.
12 + 12
.
24
.
.
.
12-6 +4 * 2
.
12-6 + 8
.
6+8
.
14
.

You can put this solution on YOUR website!
seventy two and nine thousand three hundred one , ten thousandths
.
four hundred and fourteen thousand, seven hundred eighty three, millionths
.
four hundred seventy and three thousand seventy two, hundred thousandths
.

You can put this solution on YOUR website!
sin o = 4/5 = .800
.
use arc sine to find ,,,,,o= 53.13 degrees,,,(2nd function sin on calc)
.
This shows that sin 53.13 = .8,,,ok,,,but there is no 53.13 degrees in Quadrant 2
.
Using the 180 degree ref line,,,,o' = 180- 53.13 = 126.87 degrees
.
checking sin 126.87 = .8,,,,ok
.
Now tan 126.87 = - 1.333 ,,,,,,
.
OR -4/3
.

You can put this solution on YOUR website!
bisector

You can put this solution on YOUR website!
6x +3 for x=2
.
6(2) +3
.
12 +3
.
15
.
.

You can put this solution on YOUR website!
Let L= skid length in ft,,,,v= veolcity in MPH
.
L=kv^2
.
subst data given,,,,,172 = k (60)^2,,,,,,,k= 172/60^2 = .0477
.
proportion becomes,,,L= .0477 v^2
.
for v=50,,,,,L = .0477 * 50^2 = 119.44 ft
.
.
checking,,,, 119.44/50^2 = .0477,,,,ok

What is the point slope form with the table 
(X) 3,5, 7, 9
(Y)-6,2,10,18

You can put this solution on YOUR website!
Let m= {18-(-6)}/ { 9- 3} = 24 /6 = 4
.
m= (y2-y1)/(x2-x1)
.
using the point slope eqn with extreme coordinate pairs
.
y-y1 = m (x-x1)
.
y-18 = 4(x-9)
.
y-18 = 4x -36,,,,,,,subtracting y,, and adding 36 to both sides
.
18 = 4x -y
.
.
checking, y=4x -18,,,,,,all coordinates match ,,,,,ok

You can put this solution on YOUR website!
11+n = -7(1-n),,,,,,distribute (-7)
.
11+n = -7 +7n,,,,,,add 7,,,subtract 1n,,,,from both sides
.
18=6n,,,,,,,divide by 6 ,,,,both sides
.
3=n
.
.
check,,,,,11+3 = -7(1-3) = 14,,,,,ok
.

You can put this solution on YOUR website!
-2x^4 -5x^3 +3x^2
.
x^2 ( -2x^2 -5x +3)
.
x^2 ( -2x +1)(x+3)
.
.
x*x*(-2x+1)*(x+3)
.
.

You can put this solution on YOUR website!
6x +1/5 = 65,,,,,,,clear fractions by multiplying by 5
.
30 x +1 = 325
.
30 x = 324
.
x= 10.8
.
.
check ,,,,,6(10.8) + .2 = 65,,,,,ok

You can put this solution on YOUR website!
Let L = Length,,,,,W= Width
.
Area = A = L*W,,,,,but L= 2W + 1
.
A= ( 2W+1) (W) = 2w^2 +W,,,,,and A= 55
.
2W^2 +W - 55 = 0,,,,,factor
.
(2W +11)(W-5) =0
.
2w+11=0,,,,W=-11/2,,,not realistic
.
W-5 =0,,,,W=5 and L= 2*5 +1 =11
.
.
check,,,,,,LW= 5*11=55,,,,,ok
.
2*5 +1 =11,,,,,,ok
.

You can put this solution on YOUR website!
x +7/(x-2) <0
.
multiply by (x-2)
.
x(x-2) +7 <0
.
x^2 -2x +7 <0
.
solve by quadratic formula
.
a=1,,,b--2,,,,c=7
.
x=[ -(-2)+/- sqrt{(-2)^2 -4(1) (7)}]/2(1)
.
x=[ 2 +/- sqrt{4-28}]/2
.
x= 1 +/- 2.45i,,,,,
.
returning to x^2 -2x +7<0
.
(x-1 -2.45i)(x-1+2.45i) <0
.
x-1-2.45i <0,,,,,x< 1+2.45i
.
x-1+2.45i <0,,,,,x< 1-2.45i
.

You can put this solution on YOUR website!
9y - 2x(6+4y)
.
9y -2x*6 -2x*4y
.
9y -12x -8xy
.
9y -8xy-12x
.
.