tìm y
a) y - 11/3 = 12/5
b) 2 - y = 15/6
c) y × 2 2/3 = 4/9
d) y ÷ 1 2/5 = 21/10
1/Tính giá trị của biểu thức:
B=2a/5b+5b/6c+6c/7d+7d/2a biết 2a/5b=5b/6c=6c/7d=7d/2c (a,b,c,d<>0)
2/Cho:
C=4/7*31+6/7*41+9/10*41+7/10*57
D=7/19*31+5/19*43+3/23*43+11/23*57
Tính C/D
3/So sánh hợp lí:
A=-7772/-7778;B=-88881/88889
4/Chứng minh:
P=75*(4^2004+4^2003+...+4^2+4+1)+25 chia hết cho 100
5/Tìm x,y biết:
x*(x-y)=3/10 và y*(x-y)=-3/50
Ai giải được nhớ giải chi tiết và cho mình biết kết quả trước ngày 7/4 thì mình cho 5 tick còn sau thì 2 tick.thanks
Bài1: Tìm x biết:
a) 12 : 5 = x : 1,5
b) x/5 = 3/20
c) 4/x = 10/9
d) x/15 = 60/x
Bài 2:Cho x/3=y/5=z/6, tìm x,y,z biết
a) x + y -z=8
b)x-y+z=(-4)
c)x-2y+3z= (-33)
d) x^2 - 4y^2 + 2z^2 = (-475)
\(a,\dfrac{12}{5}=\dfrac{x}{1,5}\Rightarrow x=\dfrac{12\cdot1,5}{5}=3,6\\ b,\dfrac{x}{5}=\dfrac{3}{20}\Rightarrow x=\dfrac{5\cdot3}{20}=\dfrac{3}{4}\\ c,\dfrac{4}{x}=\dfrac{10}{9}\Rightarrow x=\dfrac{4\cdot9}{10}=\dfrac{18}{5}\\ d,\Rightarrow\dfrac{x}{15}=\dfrac{60}{x}\Rightarrow x^2=60\cdot15=900\Rightarrow\left[{}\begin{matrix}x=30\\x=-30\end{matrix}\right.\\ 2,\)
a, Áp dụng t/c dtsbn:
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{6}=\dfrac{x+y-z}{3+5-6}=\dfrac{8}{2}=4\\ \Rightarrow\left\{{}\begin{matrix}x=12\\y=20\\z=24\end{matrix}\right.\)
b, Áp dụng t/c dtsbn:
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{6}=\dfrac{x-y+z}{3-5+6}=\dfrac{-4}{4}=-1\\ \Rightarrow\left\{{}\begin{matrix}x=-3\\y=-5\\z=-6\end{matrix}\right.\)
c, Áp dụng t/c dtsbn:
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{6}=\dfrac{2y}{10}=\dfrac{3z}{18}=\dfrac{x-2y+3z}{3-10+18}=\dfrac{-33}{11}=-3\\ \Rightarrow\left\{{}\begin{matrix}x=-9\\y=-15\\z=-18\end{matrix}\right.\)
d, Đặt \(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{z}{6}=k\Rightarrow x=3k;y=5k;z=6k\)
\(x^2-4y^2+2z^2=-475\\ \Rightarrow9k^2-100k^2+72z^2=-475\\ \Rightarrow-19k^2=-475\\ \Rightarrow k^2=25\Rightarrow\left[{}\begin{matrix}k=5\\k=-5\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=15;y=25;z=30\\x=-15;y=-25;z=-30\end{matrix}\right.\)
Bài 1 : Tìm y:
a) y - ( -42 - 2y ) = ( -12 ) - 14 + 2y
b) 15 - ( - y + 5 ) - 5y = - ( 12+ 5y)
c) 2y - ( -5 + 8y - 21 ) = -3 - ( 5y + 2 )
e) - 13 - ( - 3y - 23 ) = - ( 120 - y )
g) - 21 - ( -32 - 5y ) = - ( - 16 - 4y )
Bài 2 :
a) ( - 5 ) x 6 + 15 x 6
b) 9 x ( - 3 ) + 9 x 23
c) ( -10) x 11 + 210 x 11
d) 125 x 4 - 125 x (-4)
a) => y+42+2y= -12-14+2y
y+2y-2y = -12-14-42
y= -68
b) => 15+y-5-5y= -12-5y
y-5y+5y= -12-15+5
y = -22
c) => 2y+5-8y+21= -3-5y-2
2y-8y+5y= -3-2-5-21
-y= -31=>y=31
d)=> -13+3y+23= -120+y
3y-y= -120+13-23
2y= -130=>y= -65
e) => -21+32+5y= 16+4y
5y-4y= 16+21-32
y= 5
bài 1
a)y-(-42-2y) = (-12) - 14 +2y
y +42 + 2y = -12 -14 +2y
3y + 42 = -26 +2y
y = -68
b)15-(-y+5)-5y=-(12+5y+2)
15+y-5-5y=-12-5y-2
10-4y=-14-5y
-4y+5y=-14-10=-24
c)2y-(-5+8y-21)=-3-(5y+2)
2y+5-8y+21=-3y-5y-2
-6y+26=-8y-2
-6y+8y=-2-26
2y=-28
y=-28/2=-14
a)x/3-4/y=1/5
b)4/x+y/3=5/6
c)5/x-y/3=1/6
d)x/6-2/y=1/30
Trả lời:
7, 5( x + y )2 + 15( x + y )
= 5( x + y )( x + y + 3 )
9, 7x( y - 4 )2 - ( 4 - y )3
= 7x ( 4 - y )2 - ( 4 - y )
= ( 4 - y )2 ( 7x - 4 + y )
11, ( x + 1 )( y - 2 ) - ( 2 - y )2
= ( x + 1 )( y - 2 ) - ( y - 2 )2
= ( y - 2 )( x + 1 - y + 2 )
= ( y - 2 )( x - y + 3 )
8, 9x ( x - y ) - 10 ( y - x )2
= 9x ( x - y ) - 10 ( x - y )2
= ( x - y )[ ( 9x - 10 ( x - y ) ]
= ( x - y )( 9x - 10x + 10y )
= ( x - y )( 10y - x )
10, ( a - b )2 - ( a + b )( b - a )
= ( b - a )2 - ( a + b )( b - a )
= ( b - a )( b - a - a - b )
= - 2a( b - a )
= 2a ( a - b )
12, 2x ( x - 3 ) + y ( x - 3 ) + ( 3 - x )
= 2x ( x - 3 ) + y ( x - 3 ) - ( x - 3 )
= ( x - 3 )( 2x + y - 1 )
1 tim cac so nguyen x,y biet x/7=6/21 -5/y=20/28 1/2=x/12 x/8=-28/32 3/y=12/24 3/4=15/y 2 viet 3 phan so bang phan so -10/15
Tìm các số x và y biết
1) 4/x= y/21=28/49. 2) x/2=3/y. 3)42/54=7/x
4) 2/3 =y/15. 5)6/10 = 3/x =y/20
\(\dfrac{4}{x}=\dfrac{y}{21}=\dfrac{28}{49}=\dfrac{28:7}{49:7}=\dfrac{4}{9}\\ Vậy:x=\dfrac{4.9}{4}=9\\ y=\dfrac{4.21}{9}=\dfrac{28}{3}\)
\(\dfrac{x}{2}=\dfrac{3}{y}\\ \Leftrightarrow x.y=2.3=6\\ Vậy:\left[{}\begin{matrix}\left(x;y\right)=\left(1;6\right)=\left(6;1\right)\\\left(x;y\right)=\left(2;3\right)=\left(3;2\right)\end{matrix}\right.\)
\(3,\\ \dfrac{42}{54}=\dfrac{42:6}{54:6}=\dfrac{7}{9}\\ \dfrac{42}{54}=\dfrac{7}{x}=\dfrac{7}{9}\\ Vậy:x=\dfrac{7.9}{7}=9\)
Bài 1 thực hiện phép tính
a ) 8/15 . 7/13 +8/15 . 6/13
b ) 3/4 + -7/12 - 2/3
Bài 2 Tìm x biết
x /2, 7= -2/3, 6
Bài 3 tìm x , y biết
x/2 = y/5 và x + y = -21
Bài 1:
a) \(=\dfrac{8}{15}\left(\dfrac{7}{13}+\dfrac{6}{13}\right)=\dfrac{8}{15}.1=\dfrac{8}{15}\)
b) \(=\dfrac{3.3-7-2.4}{12}=-\dfrac{6}{12}=-\dfrac{1}{2}\)
Bài 2:
\(\dfrac{x}{2,7}=-\dfrac{2}{3,6}\Rightarrow x=\dfrac{\left(-2\right).2,7}{3,6}\Rightarrow x=-\dfrac{3}{2}\)
Bài 3:
\(\dfrac{x}{2}=\dfrac{y}{5}=\dfrac{x+y}{2+5}=-\dfrac{21}{7}=-3\)
\(\Rightarrow\left\{{}\begin{matrix}x=\left(-3\right).2=-6\\y=\left(-3\right).5=-10\end{matrix}\right.\)
Bài 1 : Tìm y:
a) y - ( -42 - 2y ) = ( -12 ) - 14 + 2y
b) 15 - ( - y + 5 ) - 5y = - ( 12+ 5y)
c) 2y - ( -5 + 8y - 21 ) = -3 - ( 5y + 2 )
e) - 13 - ( - 3y - 23 ) = - ( 120 - y )
g) - 21 - ( -32 - 5y ) = - ( - 16 - 4y )
Bài 2 :
a) ( - 5 ) x 6 + 15 x 6
b) 9 x ( - 3 ) + 9 x 23
c) ( -10) x 11 + 210 x 11
d) 125 x 4 - 125 x (-4)
Bài 2:
a: =6(15-5)=6*10=60
b: =9(-3+23)=9*20=180
c: =11(-10+210)=11*200=2200
d: =125*4+125*4=125*8=1000