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a) Ta được: x . 1,25 = 5. (-2) nên \(x = \frac{{5.( - 2)}}{{1,25}} = - 8\)
Vậy x = -8
b) Vì 18 : x = 2,4 : 3,6 nên \(\frac{{18}}{x} = \frac{{2,4}}{{3,6}} \Rightarrow 18.3,6 = x.2,4 \Leftrightarrow x = \frac{{18.3,6}}{{2,4}} = 27\)
Vậy x = 27
c) Vì (x+1) : 0,4 = 0,5 : 0,2 nên \(\frac{{x + 1}}{{0,4}} = \frac{{0,5}}{{0,2}} \Rightarrow (x + 1).0,2 = 0,4.0,5 \Leftrightarrow x + 1 = \frac{{0,4.0,5}}{{0,2}} = 1 \Leftrightarrow x = 0\)
Vậy x = 0
a, x= (-2). 5 :1,25 = -8
b, x= 18 : (2,4:3,6)= 18: 2/3 = 18 x 3/2 = 27
c, x+1= (0,5:0,2) x 0,4= 2,5 x 0,4= 1
=> x=1-1=0
a) \(\frac{x}{7}=\frac{18}{14}\)
\(\frac{x}{7}=\frac{9}{7}\)
\(\Rightarrow x=9\)
b) \(6:x=1\frac{3}{4}:5\)
\(6:x=\frac{7}{4}.\frac{1}{5}\)
\(6:x=\frac{7}{20}\)
\(x=6:\frac{7}{20}\)
\(x=\frac{120}{7}\)
vay \(x=\frac{120}{7}\)
c) \(\frac{5,7}{0,35}=\frac{-x}{0,45}\)
\(\Rightarrow-0,35x=5,7.0,45\)
\(\Rightarrow-0,35x=2,565\)
\(\Rightarrow x=\frac{-2,565}{0,35}\)
\(\Rightarrow x=\frac{-513}{70}\)
vay \(x=\frac{-513}{70}\)
a)x=18*7/14=9
b)x=6.5/(7/4)=120/7
c)-x=5,7*0,45/0,35=513/70
a) 2/7 : x = 11/6 : 7/12
2/7 : x = 22/7
x = 2/7 : 22/7
x = 1/11
b) (2 - x)/3 = -3/(x - 2)
(2 - x)(x - 2) = -3.3
-(x - 2)² = -9
(x - 2)² = 9
x - 2 = 3 hoặc x - 2 = -3
*) x - 2 = 3
x = 3 + 2
x = 5
*) x - 2 = -3
x = -3 + 2
x = -1
Vậy x = -1; x = 5
c) (x - 1)/(x + 2) = 2/3
3(x - 1) = 2(x + 2)
3x - 3 = 2x + 4
3x - 2x = 4 + 3
x = 7
a) 2/7 : x = 11/6 : 7/12
2/7 : x = 22/7
x = 2/7 : 22/7
x = 1/11
b) (2 - x)/3 = -3/(x - 2)
(2 - x)(x - 2) = -3.3
-(x - 2)² = -9
(x - 2)² = 9
x - 2 = 3 hoặc x - 2 = -3
*) x - 2 = 3
x = 3 + 2
x = 5
*) x - 2 = -3
x = -3 + 2
x = -1
Vậy x = -1; x = 5
c) (x - 1)/(x + 2) = 2/3
3(x - 1) = 2(x + 2)
3x - 3 = 2x + 4
3x - 2x = 4 + 3
x = 7
\(a,\dfrac{4}{x}=\dfrac{8}{x+1}\left(x\ne0;x\ne-1\right)\Rightarrow4x+4=8x\\ \Rightarrow x=1\\ b,\dfrac{x}{7}=\dfrac{x+16}{35}\Rightarrow35x=7x+112\\ \Rightarrow28x=112\Rightarrow x=4\\ c,\dfrac{6}{x-3}=\dfrac{7}{x-5}\left(x\ne3;x\ne5\right)\Rightarrow6x-30=7x-21\\ \Rightarrow x=-9\\ d,\dfrac{44-x}{3}=\dfrac{x-12}{5}\Rightarrow220-5x=3x-36\\ \Rightarrow8x=256\Rightarrow x=32\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
a) \(\frac{x}{7} = \frac{y}{2} = \frac{{x + y}}{{7 + 2}} = \frac{{18}}{9} = 2\)
Vậy x = 7 . 2 = 14; y = 2.2 = 4
b) \(\frac{x}{7} = \frac{y}{2} = \frac{{x - y}}{{7 - 2}} = \frac{{20}}{5} = 4\)
Vậy x = 7.4 = 28; y = 2.4 = 8
a)\(\frac{x-1}{x+2}=\frac{x-2}{x+3}\Rightarrow\left(x-1\right)\left(x+3\right)=\left(x+2\right)\left(x-2\right)\)
\(\Rightarrow x^2+2x-3=x^2-4\)
\(\Rightarrow2x=-1\)
\(\Rightarrow x=-\frac{1}{2}\)
b)\(\frac{37-x}{x+13}=\frac{3}{7}\)\(\Rightarrow7\left(37-x\right)=3\left(x+13\right)\)
\(\Rightarrow259-7x=3x+39\)
\(\Rightarrow10x=220\)
\(\Rightarrow x=22\)
Bài 2:
Giải:
Đặt \(\frac{x}{4}=\frac{y}{7}=k\Rightarrow x=4k,y=7k\)
Do \(xy=112\)
\(\Rightarrow4.k.7.k=112\)
\(\Rightarrow28.k^2=112\)
\(\Rightarrow k^2=4\)
\(\Rightarrow k=\pm2\)
+) \(k=2\Rightarrow x=8,y=14\)
+) \(k=-2\Rightarrow x=-8,y=-14\)
Vậy cặp số \(\left(x,y\right)\) là \(\left(8,14\right);\left(-8,-14\right)\)
\(\text{a)}\frac{37-x}{x+13}=\frac{3}{7}\)
\(\Leftrightarrow3\left(x+13\right)=7\left(37-x\right)\)
\(\Leftrightarrow3x+39=259-7x\)
\(\Leftrightarrow3x+7x=259-39\)
\(\Leftrightarrow10x=220\)
\(\Leftrightarrow x=22\)
\(\text{b)}\frac{x+4}{20}=\frac{5}{x+4}\)
\(\Leftrightarrow\left(x+4\right)^2=100\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=10\\x+4=-10\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=6\\x=-14\end{cases}}\)
\(\begin{array}{l}a)\frac{x}{{ - 3}} = \frac{7}{{0,75}}\\ \Rightarrow x.0,75 = ( - 3).7\\ \Rightarrow x = \frac{{( - 3).7}}{{0,75}} = - 28\end{array}\)
Vậy x = 28
\(\begin{array}{l}b) - 0,52:x = \sqrt {1,96} :( - 1,5)\\ - 0,52:x = 1,4:( - 1,5)\\ x = \dfrac{(-0,52).(-1,5)}{1,4}\\x = \frac{39}{{70}}\end{array}\)
Vậy x = \(\frac{39}{{70}}\)
\(\begin{array}{l}c)x:\sqrt 5 = \sqrt 5 :x\\ \Leftrightarrow \frac{x}{{\sqrt 5 }} = \frac{{\sqrt 5 }}{x}\\ \Rightarrow x.x = \sqrt 5 .\sqrt 5 \\ \Leftrightarrow {x^2} = 5\\ \Leftrightarrow \left[ {_{x = - \sqrt 5 }^{x = \sqrt 5 }} \right.\end{array}\)
Vậy x \( \in \{ \sqrt 5 ; - \sqrt 5 \} \)
Chú ý:
Nếu \({x^2} = a(a > 0)\) thì x = \(\sqrt a \) hoặc x = -\(\sqrt a \)
a: \(\dfrac{x}{-3}=\dfrac{7}{0.75}=\dfrac{28}{3}\)
=>\(x=\dfrac{28\left(-3\right)}{3}=-28\)
b: \(-\dfrac{0.52}{x}=\dfrac{\sqrt{1.96}}{-1.5}=\dfrac{1.4}{-1.5}\)
=>\(x=0.52\cdot\dfrac{1.5}{1.4}=\dfrac{39}{70}\)
c: \(\dfrac{x}{\sqrt{5}}=\dfrac{\sqrt{5}}{x}\)
=>\(x^2=5\)
=>\(x=\pm\sqrt{5}\)
x/718/14 suy ra x=(18×7)/14
x=9
6÷x=1(3/4)÷5 suy ra x= (6×5)/1(3/4)
x=30/(7/4)
5,7÷0,35=(-x)÷0,45 suy ra x=(5,7×0,45)/0,35
x=5130/7