Answer:
![\sf x = \dfrac{n - 2mp}{2m}](https://tex.z-dn.net/?f=%5Csf%20x%20%3D%20%5Cdfrac%7Bn%20-%202mp%7D%7B2m%7D)
Step-by-step explanation:
![\sf 3m = m + \dfrac{n}{p + x}\\](https://tex.z-dn.net/?f=%5Csf%203m%20%3D%20m%20%2B%20%5Cdfrac%7Bn%7D%7Bp%20%2B%20x%7D%5C%5C)
![\sf 3m - m = \dfrac{n}{p +x}](https://tex.z-dn.net/?f=%5Csf%203m%20-%20m%20%3D%20%5Cdfrac%7Bn%7D%7Bp%20%2Bx%7D)
![\sf 2m = \dfrac{n}{p +x}](https://tex.z-dn.net/?f=%5Csf%202m%20%3D%20%5Cdfrac%7Bn%7D%7Bp%20%2Bx%7D)
Now cross multiply,
2m*(p +x) = n
To open the parenthesis, multiply 2m by p and x.
2mp + 2mx = n
Isolate the term with variable 'x'
2mx = n - 2mp
Now, isolate 'x', by dividing both sides by 2m
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
<u>-( 4x−18y=54)</u>
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
4 divided by 6 is 0.6666666667
Answer:
its 1
Step-by-step explanation: 341/5= 68 r1
Answer:
Tax is $2.52 and the total is $30.52
Step-by-step explanation:
9% of 28 is 2.52 and yeah.