Giúp mk vs:
a. \(x=\frac{2y+7}{y+3}\)
b. \(y=\frac{4x+3}{2x+6}\)
Giups mk vs nhé! Mk pick cho!
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\(=\left[\frac{2xy}{\left(x-y\right).\left(x+y\right)}+\frac{x-y}{2.\left(x+y\right)}\right]:\frac{x+y}{2x}+\frac{x}{y-x}\)
\(=\frac{4xy+\left(x-y\right).\left(x-y\right)}{2.\left(x-y\right).\left(x+y\right)}.\frac{2x}{x+y}+\frac{x}{y-x}\)
\(=\frac{x^2+2xy+y^2}{\left(x-y\right).\left(x+y\right)^2}.x+\frac{x}{y-x}\)
\(=\frac{x.\left(x+y\right)^2}{\left(x-y\right).\left(x+y\right)^2}+\frac{x}{y-x}\)
\(=\frac{x}{x-y}-\frac{x}{x-y}=0\)
Bạn giùm mik nhé, tks bạn nhiều (:
Ta có:
\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\frac{2x-2}{4}=\frac{3y-6}{9}\)
Áp dụng tính chất của dãy tỉ số = nhau ta có:
\(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}=\frac{2x-2}{4}=\frac{3y-6}{9}=\frac{\left(2x-2\right)+\left(3y-6\right)-\left(z-3\right)}{4+9-4}\)
\(=\frac{\left(2x+3y-z\right)-5}{9}=\frac{50-5}{9}=\frac{45}{9}=5\)
\(\Rightarrow\begin{cases}x-1=2.5=10\\y-2=3.5=15\\z-3=4.5=20\end{cases}\)\(\Rightarrow\begin{cases}x=11\\y=17\\z=23\end{cases}\)
Vậy x = 11; y = 17; z = 23
b)ta có: \(\frac{x}{5}=\frac{y}{4}=\frac{z}{-6}\Rightarrow\frac{x^3}{125}=\frac{y^3}{64}=\frac{z^3}{-216}=\frac{x^3}{125}=\frac{y^3}{64}=\frac{3z^3}{-648}\)
ADTCDTSBN
có: \(\frac{x^3}{125}=\frac{3z^3}{-648}=\frac{x^3+3z^3}{125+\left(-648\right)}=\frac{-14121}{-523}=27\)
=> x3/125 = 27 => x3 = 3 375 => x = 15
y3/64 = 27 => y3 = 1 728 => y = 12
z3/-216 =27 => z3 = -5 832 => z3 = -18
KL:...
câu c thì mk ko bk! sr bn nha!
a) ta có: \(\frac{x}{y}=\frac{7}{20}\Rightarrow x20=y7\Rightarrow\frac{x}{7}=\frac{y}{20}\Rightarrow\frac{x}{49}=\frac{y}{140}\)
\(\frac{y}{z}=\frac{7}{3}\Rightarrow y3=z7\Rightarrow\frac{y}{7}=\frac{z}{3}\Rightarrow\frac{y}{140}=\frac{z}{60}\)
\(\Rightarrow\frac{x}{49}=\frac{y}{140}=\frac{z}{60}\)
ADTCDTSBN
có: \(\frac{x}{49}=\frac{y}{140}=\frac{z}{60}=\frac{x-y+z}{49-140+60}=\frac{-155}{-31}=5\)
=> x/49 = 5 => x = 245
y/140 = 5 => y = 700
z/60 = 5 => z = 300
KL:...
b) \(\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{5}\) = \(\dfrac{x+y+z}{2+3+5}=\dfrac{-90}{10}=-9\)
\(\dfrac{x}{2}=-9\) => x= -18
\(\dfrac{y}{3}=-9\) => y = -27
\(\dfrac{z}{5}=-9\) => z = -45
a) \(4x=5y\) <=> \(x=\dfrac{5y}{4}\)
\(3\cdot\dfrac{5y}{4}-2y=35\)
=> y = 20
=> x = \(\dfrac{5\cdot20}{4}\)=25
a) = (x + 3)2 - y2 = (x + 3 - y)(x + 3 + y)
b) = x2(x - 3) -4(x - 3) = (x - 3)(x2 - 4) = (x - 3)(x - 2)(x + 2)
c) = 3x(x - y) - 5(x - y) = (x - y)(3x - y)
d) Nhầm đề. tui sửa lại x3 + y3 + 2x2 - 2xy + 2y2
= x3 + y3 + 2(x2 - xy + y2) = (x + y)(x2 - xy + y2) + 2(x2 - xy + y2) = (x2 - xy + y2)(x + y + 2)
e) = x4 - x3 - x3 + x2 - x2 + x + x - 1 = x3(x - 1) - x2(x - 1) - x(x - 1) + x - 1 = (x - 1)(x3 - x2 - x + 1) = (x - 1)(x - 1)(x2 - 1) = (x - 1)3(x + 1)
f) = x3 - 3x2 - x2 + 3x + 9x - 27 = x2(x - 3) - x(x - 3) + 9(x - 3) = (x-3)(x2 - x + 9)
g) chắc là 3xyz
= x2y + xy2 + y2z + yz2 + x2z + xz2 + 3xyz = x2y + xy2 + xyz + y2z + yz2 + xyz + x2z + xz2 + xyz = (x + y + z)(xy + yz + xz)
h) = 23 -(3x)3 = (2 - 3x)(4 + 6x + 9x2)
i) = (x + y - x + y)(x + y + x - y) = 2y*2x = 4xy
k) = (x3 - y3)(x3 + y3) = (x - y)(x2 + xy +y2)(x + y)(x2 - xy +y2).
a) Áp dụng t/c của dãy tỉ số bằng nhau, ta có:
\(\frac{x}{2}=\frac{y}{3}=\frac{z}{-4}=\frac{x-y-z}{2-3+4}=\frac{27}{3}=9\)
=> \(\hept{\begin{cases}\frac{x}{2}=9\\\frac{y}{4}=9\\\frac{z}{-4}=9\end{cases}}\) => \(\hept{\begin{cases}x=9.2=18\\y=9.3=27\\z=9.\left(-4\right)=-36\end{cases}}\)
Vậy ...
a, ÁP DỤNG DÃY TỈ SỐ BĂNG NHAU TA CÓ
\(\frac{x}{2}=\frac{y}{3}=\frac{x}{-4}=\frac{x-y-z}{2-3+4}=\frac{27}{3}=9\)
\(\Rightarrow\hept{\begin{cases}x=9.2=18\\y=9.3=27\\z=9.\left(-4\right)=-36\end{cases}}\)
\(a,2x\left(x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x=0\\x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x\in\forall Z\\x=1\end{cases}}}\)
\(b,x\left(2x-4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\2x-4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=2\end{cases}}}\)
\(c;\left(x+1\right)+\left(x+3\right)+...............+\left(x+99\right)=0\)
\(\Rightarrow\left(x+x+...........+x\right)+\left(1+3+............+99\right)=0\)
\(\Rightarrow50x+2500=0\)
\(\Rightarrow50x=-2500\)
\(\Rightarrow x=-50\)
2/
\(a;\left(x-3\right)\left(2y+1\right)=7\)
\(\Rightarrow\left(x-3\right);\left(2y+1\right)\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
Xét bảng
x-3 | 1 | -1 | 7 | -7 |
2y+1 | 7 | -7 | 1 | -1 |
x | 4 | 2 | 10 | -4 |
y | 3 | -4 | 0 | -1 |
Vậy...............................
\(b;xy+3x-2y=11\)
\(\Rightarrow x\left(y+3\right)-2y-6=11-6\)
\(\Rightarrow x\left(y+3\right)-2\left(y+3\right)=5\)
\(\Rightarrow\left(x-2\right)\left(y+3\right)=5\)
\(\Rightarrow\left(x-2\right);\left(y+3\right)\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)
Xét bảng'
x-2 | 1 | -1 | 5 | -5 |
y+3 | 5 | -5 | 1 | -1 |
x | 3 | 1 | 7 | -3 |
y | 2 | -8 | -2 | -4 |
Vậy................................