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\(\frac{5-2x}{3}=\frac{4x-1}{-5}\)
-5(5-2x) = 3(4x-1)
-25 + 10x = 12x - 3
10x - 12x = -3 + 25
-2x = 22
x= -11
Nhân chéo như trên rồi tự làm nha
Học tốt~
a) \(5-\frac{2x}{3}=4x-\frac{1}{-5}\)
\(\frac{75-10x}{15}=\frac{60x+3}{15}\)
75 - 10x = 60x +3
72 = 70x
\(\frac{72}{70}\) = x
x =\(\frac{36}{35}\)
Vậy x = \(\frac{36}{35}\)
b) \(2x-\frac{10}{6}=\frac{-27}{5}-x\)
\(2x-\frac{5}{3}=\frac{-27}{5}-x\)
\(\frac{30x-25}{15}=\frac{-81-15}{15}\)
30x =-96+25
30x =-71
x= -71/30
Vậy x= -71/30
c) \(13x-\frac{2}{2x}+5=\frac{76}{17}\)
13x - 1/x +5 = 76/17
\(\frac{221x-17+85}{17x}=\frac{76x}{17x}\)
221x +68 = 76x
221x-76x =-68
145x =-68
x =\(\frac{-68}{145}\)
Vậy .........
Bài làm:
a) \(\left|\frac{1}{2}x-\frac{5}{2}\right|-1=-\frac{1}{2}\)
\(\Leftrightarrow\left|\frac{1}{2}x-\frac{5}{2}\right|=\frac{1}{2}\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x-\frac{5}{2}=\frac{1}{2}\\\frac{1}{2}x-\frac{5}{2}=-\frac{1}{2}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{1}{2}x=3\\\frac{1}{2}x=2\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=4\end{cases}}\)
+ Nếu x = 6
\(\left|12-\frac{1}{3}y\right|=\frac{5}{6}\)
\(\Leftrightarrow\orbr{\begin{cases}12-\frac{1}{3}y=\frac{5}{6}\\12-\frac{1}{3}y=-\frac{5}{6}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{1}{3}y=\frac{67}{6}\\\frac{1}{3}y=\frac{77}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}y=\frac{67}{2}\\y=\frac{77}{2}\end{cases}}\)
+ Nếu x = 4
\(\left|8-\frac{1}{3}y\right|=\frac{5}{6}\)
\(\Leftrightarrow\orbr{\begin{cases}8-\frac{1}{3}y=\frac{5}{6}\\8-\frac{1}{3}y=-\frac{5}{6}\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{1}{3}y=\frac{43}{6}\\\frac{1}{3}y=\frac{53}{6}\end{cases}}\Rightarrow\orbr{\begin{cases}y=\frac{43}{2}\\y=\frac{53}{2}\end{cases}}\)
Vậy ta có 4 cặp số (x;y) thỏa mãn: \(\left(6;\frac{67}{2}\right);\left(6;\frac{77}{2}\right);\left(4;\frac{43}{2}\right);\left(4;\frac{53}{2}\right)\)
b) \(\frac{3}{2}x-\frac{1}{2}\left(x-\frac{2}{3}\right)=\frac{5}{3}\)
\(\Leftrightarrow\frac{3}{2}x-\frac{1}{2}x+\frac{1}{3}=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{4}{3}\)
Thay vào ta được:
\(\frac{2.\frac{4}{3}+y}{\frac{4}{3}-2y}=\frac{5}{4}\)
\(\Leftrightarrow\frac{32}{3}+4y=\frac{20}{3}-10y\)
\(\Leftrightarrow14y=-4\)
\(\Rightarrow y=-\frac{2}{7}\)
Vậy ta có 1 cặp số (x;y) thỏa mãn: \(\left(\frac{4}{3};-\frac{2}{7}\right)\)
a, 315+(125-x)=435
<=> 125 - x = 435 - 315
<=> 125 - x = 120
<=> x = 5
b, 6x-5=613
<=> 6x = 613 + 5
<=> 6x = 618
<=> x = 103
c, 128-3(x+4)=23
<=> 3(x +4 ) = 105
<=> x + 4 = 35
<=> x = 31
e, -x +8=17
<=> x = -9
a, 315+(125-x)=435
125-x=435-315=120
x=125-120=5
=>x=5
b,6x-5=613
6x=613+5=618
x=618:6=103
c, 128-3(x+4)=23
3(x+4)=128-23=105
x-4=105:3=35
x=35+4=39
Ý D NHẦM ĐẦU BÀI BẠN ƠI.
a) 5 - 3x = x - 15
5 = 4x - 15
4x = 20
x = 5
b) 17 - 6x = 4x- 8
17 = 10x - 8
10x = 25
x = 2,5
c) 23 + x = 2 - 2x
23 + 3x = 2
3x = -21
x = -7
\(a,\left|2x-5\right|=1\)
\(\Rightarrow\orbr{\begin{cases}2x-5=1\\2x-5=-1\end{cases}\Rightarrow\orbr{\begin{cases}2x=6\\2x=4\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=2\end{cases}}}\)
b, đề thiếu
a, -75 - (x + 20) + 95 = 0
=> - 75 - x - 20 + 95 = 0
=> -x = 0 + 75 + 20 - 95
=> -x = 0
=> x = 0
vậy_
b, 12 - x = 5 - (-3)
=> 12 - x = 8
=> x = 12 - 8
=> x = 4
vậy_
c, 10 - (3 - x) = 7
=> 3 - x = 10 - 7
=> 3 - x = 3
=> x = 3 - 3
=> x = 0
vậy_
d, 17- (x + 3) = 2
=> x + 3 = 17 - 2
=> x + 3 = 15
=> x = 15 - 3
=> x = 12
vậy_
e, 12 - x(x-1) = 3
=> x(x - 1) = 12 - 3
=> x(x - 1) = 9
=> x2 - x = 9
đến đây chju nhé
a,<=> 145-2x-1=70
<=> 2x=74
<=> x=37
b, <=> 10-4x+15=17
<=> 4x=8
<=> x=2
\(7^2\cdot5-\left(2x+1\right)=630\div9\)
\(49\cdot5-\left(2x+1\right)=70\)
\(245-\left(2x+1\right)=70\)
\(2x+1=245-70\)
\(2x+1=175\)
\(2x=175-1\)
\(2x=174\)
\(x=174\div2\)
\(x=87\)
\(\left(10-4x\right)+120\div2^3=17\)
\(\left(10-4x\right)+120\div8=17\)
\(\left(10-4x\right)+15=17\)
\(10-4x=17-15\)
\(10-4x=2\)
\(4x=10-2\)
\(4x=8\)
\(x=8\div4\)
\(x=2\)