19-3n=-2n
2(a-4)+4=5(9-a)
Solve and identify if these are conditional, inconsistant, or identity equations:
1/2b - 1/2=1/4b
0.6(x-50)=18-0.3(40-10x)
t-5x=4x (would this be t=9x and conditional?)
-x/3+y/2=1
2007-06-27 05:47:13 · 3 answers · asked by Mandalicious 1 in Science & Mathematics ➔ Mathematics
19 - 3n = 2n
Transpose 3n
19 - 3n + 3n = 2n + 3n
19 = 5n
Divide both sides of the equation by 5
19 / 5 = 5n / 5
19/5 = n
3 4/5 = n
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2(a - 4) + 4 = 5(9 - a)
The distributive property
2a - 8 + 4 = 45 - 5a
2a - 4 = 45 - 5a
Transpose 5a
2a - 4 + 5a = 45 - 5a + 5a
7a - 4 = 45
Transpose 4
7a - 4 + 4 = 45 + 4
7a = 49
Divide both sides of the equation by 7
7a / 7 = 49 / 7
a = 49 / 7
a = 7
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2007-06-27 06:21:46 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
(1) 19 - 3n = -2n
19 = n
(2) 2(a - 4) + 4 = 5(9 - a)
2a - 8 + 4 = 45 - 5a
7a = 49
a = 7
(3) (1/2)b - 1/2 = (1/4)b
(1/4)b = 1/2
b = 2 ==> identity
(4) 0.6(x - 50) = 18 - 0.3(40 - 10x)
0.6x - 30 = 18 - 12 + 3x
-2.4x = 36
x = -15 ==> identity
(5) t - 5x = 4x
t = 9x ==> conditional
(6) (-1/3)x + (1/2)y = 1
(1/2)y = (1/3)x + 1
y = (2/3)x + 2 ==> conditional
2007-06-27 12:56:55 · answer #2 · answered by yeeeehaw 5 · 0⤊ 0⤋
19-3n=-2n
19=n(identical)
2(a-4)+4=5(9-a)
2a-8+4=45-5a
2a-4=45-5a
7a=49
a=7identical)
1/2b-1/2=1/4b
-1/2=-1/4b(*-)
1/2=1/4b
b=1/2*4/1
b=2(identical)
0.6(x-50)=18-0.3(40-10x)
0.6x-30=18-12+3x
0.6x-30=6+3x
2.4x=36
x=15(identical)
t-5x=4x
t=9x(conditional)
-x/3-y/2=1
-2x-3y\6=1
-2x-3y=6
2x+3y=-6(CONDITIONAL)
2007-06-27 13:12:51 · answer #3 · answered by Amy 2 · 0⤊ 0⤋