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Câu a:
x + 1/2 = - 3/4
x = - 3/4 - 1/2
x = - 3/4 - 2/4
x = -5/4
Vậy x = - 5/4
Câu b:
-6/5 = 2/x
x = 2: - 6/5
x = 2.(-5/6)
x = - 5/3
Vậy x = - 5/3
Câu c:
(2 - 3x)/8 = 2/(2 - 3x)
(2 - 3x)^2 = 8.2
(2 - 3x)^2 = 16
2 - 3x = -4 hoặc 2 - 3x = 4
2 - 3x = - 4
3x = 2 + 4
3x = 6
x = 6 : 3
x = 2
2 - 3x = 4
3x = 2 - 4
3x = - 2
x = -2/3
Vậy x ∈ {-2/3; 2}
a) => 4/3x = 7/9 - 4/9 = 1/3
=> x = 1/3 : 4/3 = 1/4
b) => 5/2 - x = 9/14 : (-4/7) = -9/8
=> x = 5/2 - (-9/8) = 5/2 + 9/8 = 29/8
c) => 3x = 2 và 2/3 - 3/4 = 8/3 - 3/4 = 23/12
=> x = 23/12 : 3 = 23/36
D) => -5/6 - x = 1/4
=> x = -5/6 - 1/4 = -13/12
a) \(\dfrac{4}{9}+\dfrac{4}{3}x=\dfrac{7}{9}\)
\(\dfrac{4}{3}x=\dfrac{7}{9}-\dfrac{4}{9}=\dfrac{1}{3}\)
\(x=\dfrac{1}{3}:\dfrac{4}{3}\)
\(x=\dfrac{1}{4}\)
b) \(\left(\dfrac{5}{2}-x\right)\left(-\dfrac{4}{7}\right)=\dfrac{9}{14}\)
\(\dfrac{5}{2}-x=\dfrac{9}{14}:\left(-\dfrac{4}{7}\right)=-\dfrac{9}{8}\)
\(x=\dfrac{5}{2}-\left(-\dfrac{9}{8}\right)\)
\(x=\dfrac{29}{8}\)
c) \(3x+\dfrac{3}{4}=2\dfrac{2}{3}\)
\(3x+\dfrac{3}{4}=\dfrac{8}{3}\)
\(3x=\dfrac{8}{3}-\dfrac{3}{4}=\dfrac{23}{12}\)
\(x=\dfrac{23}{12}:3\)
\(x=\dfrac{23}{36}\)
d) \(-\dfrac{5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(-\dfrac{5}{6}-x=\dfrac{1}{4}\)
\(x=-\dfrac{5}{6}-\dfrac{1}{4}\)
\(x=-\dfrac{13}{12}\)
Câu a:
xem lại đề bài
Câu b:
5 2/8x - 1/9 = 4 3/5
42/8x - 1/9 = 23/5
21/4x = 23/5 + 1/9
21/4x = 207/45 + 5/45
21/4x = 212/45
x = 212/45: 21/4
x = 212/45 x 4/21
x = 848/945
Vậy: x = 848/945
Câu c:
45%x - 2/3x = 75%
9/20x - 2/3x = 3/4
x(9/20 - 2/3) = 3/4
x(27/60 - 40/60) = 3/4
x.(-13/60) = 3/4
x = 3/4 : (-13/60)
x = 3/4 x (-60/13)
x = - 45/13
Vậy x = - 45/13
a: \(A=x^2+2+3x^2+2-2x^2-2=2x^2+2\)
b: \(B=2x-3-\left(3x-2\right)-\left(2x-4\right)\)
\(=2x-3-3x+2-2x+4=-3x+3\)
c: \(C=6-3x+3x+10=16\)
d: \(D=\left|3x-8\right|+\left|x+2\right|\)
\(=3x-8+x+2=4x-6\)
a) \(\frac{3x}{-4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-9}{6}\)
=> \(\frac{-3x}{4}=\frac{-3}{2}\)
=> \(\frac{-3x}{4}=\frac{-6}{4}\)
=> \(-3x=-6\)
=> \(x=\left(-6\right):\left(-3\right)=2\)
b) \(\frac{2}{x}=\frac{y}{10}=\frac{4}{-5}\)
=> \(\frac{2}{x}=\frac{y}{10}=\frac{-4}{5}\)
+) \(\frac{2}{x}=\frac{-4}{5}\)
=> \(\left(-4\right)\cdot x=2\cdot5\)
=> \(\left(-4\right)\cdot x=10\)
=> \(x=\frac{10}{-4}=\frac{-10}{4}=\frac{-5}{2}\)
+) \(\frac{y}{10}=\frac{-4}{5}\)
=> \(5\cdot y=-40\)
=> \(y=\left(-40\right):5=-8\)
Vậy \(x=-\frac{5}{2},y=-8\)
c) \(\frac{7}{-x}=\frac{5}{y}=\frac{2}{34}\)
=> \(\frac{-7}{x}=\frac{5}{y}=\frac{1}{17}\)
+) \(\frac{-7}{x}=\frac{1}{17}\Rightarrow x=\left(-7\right)\cdot17=-119\)
+) \(\frac{5}{y}=\frac{1}{17}\Rightarrow y=5\cdot17=85\)
Vậy \(x=-119,y=85\)
d) \(\frac{x^2}{4}=16\)
=> \(x^2=16\cdot4=64\)
=> \(x\in\left\{8;-8\right\}\)
e) \(\frac{3}{x^3}=\frac{4}{-36}\)
=> \(\frac{3}{x^3}=\frac{1}{-9}=\frac{-1}{9}\)
=> \(x^3=3:\left(-\frac{1}{9}\right)=-27\)
=> \(x=-3\)
Vậy x = -3
a,\(\frac{1}{3}x=-2-\frac{2}{3}=\frac{-8}{3}\)
\(x=\frac{-8}{3}:\frac{1}{3}=\frac{-8}{3}.\frac{3}{1}=-8\)
\(b,\left[x+\frac{1}{1}\right]^2+\frac{5}{6}=\frac{7}{8}\)
\(\Rightarrow\left[x+1\right]^2=\frac{7}{8}-\frac{5}{6}\)
\(\Rightarrow\left[x+1\right]^2=\frac{7\cdot3}{24}-\frac{5\cdot4}{24}\)
\(\Rightarrow\left[x+1\right]^2=\frac{21}{24}-\frac{20}{24}\)
\(\Rightarrow\left[x+1\right]^2=\frac{1}{24}\)
\(\Rightarrow x\in\left\{\varnothing\right\}\)
Bài 2:Tìm số nguyên x
a,x-2=-6+17
=> x-2= 11
=> x = 11 + 2
=> x = 13
b,x+2=-9
=> x = -9 - 2
=> x = -11
help me pls
Câu a:
x + 1/2 = - 3/4
x = - 3/4 - 1/2
x = - 3/4 - 2/4
x = - 5/4
Vậy x = - 5/4
Câu b:
- 6/5 = 2/x
x = 2 : -6/5
x = - 5/3
Vậy x= - 5/3
(2 - 3x)/8 = 2/(2 - 3x)
(2 - 3x)^2 = 8.2
(2 - 3x)^2 = 16
2 - 3x = -4 hoặc 2 - 3x = 4
2 - 3x = - 4
3x = 2 + 4
3x = 6
x = 6 : 3
x = 2
2 - 3x = 4
3x = 2 - 4
3x = - 2
x = -2/3
Vậy x ∈ {-2/3; 2}
Câu d:
|4 + 3x| + 5 = 9
|4 + 3x| = 9 - 5
|4 + 3x| = 4
4 + 3x = - 4 hoặc 4 + 3x = 4
4 + 3x = -4
3x = -4 - 4
3x = -8
x = -8/3
4 + 3x = 4
3x = 0
x = 0
Vậy x ∈ {- 8/3; 0}