solve for x: 3x-8/x-3 +4x-25/x-6 =5x-9/x-2 +2x-11/x-5
Answers
Answer:
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Step-by-step explanation:
Q3) Solve:
(i) -8m - 2 = -10
(ii) 4x + 2x = 3 + 5
(iii) 4x - x + 5 = 8
(iv) 6x + 2 = 2x + 10
(v) 18 - (2a - 12) = 8a
(vi) 3x + 5 + 2x + 6 + x = 4x + 21
(vii) 3.5x - 9 - 3 = x + 1
(viii) 8x + 6 + 2x - 4 = 4x + 8
(ix) - m + (3m - 6m) = - 8 - 14
(x) 5x - 14 = x - (24 + 4x)
Solution 3:
(i) -8m - 2 = -10
-8m = -10+2
-8m = -8
m = 1
(ii) 4x + 2x = 3 + 5
6x = 8
x=\frac{8}{6}=\frac{4}{3}=1\frac{1}{3}x=68=34=131
(iii) 4x - x + 5 = 8
3x + 5 = 8
3x = 8 - 5
3x = 3
x = 1
(iv) 6x + 2 = 2x + 10
6x - 2x = 10 - 2
4x = 8
x = 2
(v) 18 - (2a -12) = 8a
18 - 2a + 12 = 8a
-2a -8a = -18 -12
-10a = -30
a = 3
(vi) 3x + 5 + 2x + 6 + x = 4x + 21
6x + 11 = 4x + 21
6x - 4x = 21 - 11
2x = 10
x = 5
(vii) 3.5x - 9 - 3 = x + 1
3.5x - x = 1 + 9 + 3
2.5x = 13
x=\frac{13}{2.5}=\frac{13\times10}{25}=\frac{26}{5}=5\frac{1}{5}x=2.513=2513×10=526=551
(viii) 8x + 6 + 2x - 4 = 4x + 8
10x + 2 = 4x + 8
10x - 4x = 8 - 2
6x = 6
x = 1
(ix) -m + (3m - 6m) = -8 -14
-m + 3m - 6m = -8 -14
-7m + 3m = -22
-4m = -22
m=\frac{-22}{-4}=\frac{11}{2}=5\frac{1}{2}m=−4−22=211=521
(x) 5x - 14 = x - (24 + 4x)
5x - 14 = x - 24 - 4x
5x + 4x - x = -24 + 14
9x - x = -10
8x = -10
x=\frac{-10}{8}=\frac{-5}{4}=-1\frac{1}{4}x=8−10=4−5=−141