9x + 7 = 5x - 3.
Please explain how
2007-07-30 23:12:46 · 13 answers · asked by ray 1 in Science & Mathematics ➔ Mathematics
9x + 7 = 5x - 3
Transpose 5x
9x + 7 - 5x = 5x - 3 - 5x
Collect like terms
4x + 7 = - 3
Transpose 7
4x + 7 - 7 = - 3 - 7
Collect like terms
4x = - 10
Divide both sides of the equation by 4
4x / 4 = - 10 / 4
x = - 10 / 4
x = 2 2/4
simplify
x = 2 1/2
x = 2.5
- - - - - - - - - -s-
2007-07-31 00:40:17 · answer #1 · answered by SAMUEL D 7 · 1⤊ 0⤋
given, 9x+7=5x-3
9x-5x= -3-7
4x= -10
x= -10/4
x= - 5/2
check, 9x+7=5x-3
9(-5/2)+7=5(-5/2)-3
-45/2+7= -25/2-3
-31/2 = -31/2
left hand side = right hand side
so the value of x will be (-5/2)
2007-07-31 00:20:32 · answer #2 · answered by shantanu k 1 · 0⤊ 0⤋
=> 9x-5x =-7-3
=> 4x = -10
=>x=-10/4
=>x=2.5
2007-07-30 23:19:42 · answer #3 · answered by herbman76 2 · 0⤊ 0⤋
9x + 7 = 5x - 3
9x - 5x = -7 -3
*transpose 5x and 7. 5x becomes negative; so does 7.
4x = -10
*simplify/collect similar terms
4x/4 = -10/4
*divide both sides by 4
x = -10/4
*simplify
x = -5/2
*simplify (again)
tada!
so.. let's check!
9x + 7 = 5x - 3
9(-5/2) + 7 = 5(-5/2) - 3
*substitute x with the answer
-45/2 + 7 = -25/2 - 3
*simplify
-45/2 + 14/2 = -25/2 - 6/2
*make them similar fractions
-31/2 = -31/2
*simplify
:D hope this helps.
2007-07-31 00:10:38 · answer #4 · answered by klarity 3 · 0⤊ 1⤋
x = -2.5
Subtract 5x from 9x (leaving you with 4 x). Subtract 7 from -3 (leaving you with -10).
-10/4 = -2.5
2007-07-30 23:19:57 · answer #5 · answered by Anonymous · 0⤊ 0⤋
By putting x together, we get 9x-5x=-3-7
after computing, we get 4x=-10
dividing by 4 in both sides, we get x=-10/4
which isthe same as x=-5/2
2007-07-30 23:23:39 · answer #6 · answered by simchem 1 · 0⤊ 0⤋
9x+7=5x-3
9x-5x=-3-7
4x=-10
x=-10/4
x=-5/2 or -2 1/2
Put value of x in the original equation
9x+7=5x-3
9*(-5/2) + 7 = 5*(-5/2) -3
-45/2 + 7 = -25/2 - 3
(-45+14)/2=(-25-6)/2
-31/2=-31/2
Hence answer is checked.
2007-07-30 23:17:52 · answer #7 · answered by Jain 4 · 1⤊ 1⤋
take 5x to left side nd 7 to right side
nd the sign changes if we take a number from one side to another
so the equation becomes
9x-5x=-3-7
so 4x=-10
so x=-10/4=-5/2=-2.5
now to check put x=-2.5 in both the sides
nd we see that left side and rt side giv the same result as '-10.5' so our value of x is correct...
2007-07-30 23:19:02 · answer #8 · answered by titu-the matrix 2 · 0⤊ 0⤋
9x+7=5x-3
SUBTRACT 7 FROM BOTH SIDES
9x=5x-10
SUBTRACT 5x FROM BOTH SIDES
4x=-10
DIVIDE 4 ON BOTH SIDES
x=-21/2 OR -2.5
2007-07-31 07:01:06 · answer #9 · answered by weeeelilbit 1 · 0⤊ 1⤋
+3 to both sides, you get 9x+10 = 5x.
-9x to both sides to isolate the x to one side, you get 10= -4x
divide both sides by -4, you get -2.5 = x
2007-07-30 23:19:31 · answer #10 · answered by thatfatguypat 2 · 0⤊ 0⤋