tìm y
a y x 38 - 34 x y - y = 4503
b 2 x y + 7 x y + y =210
Tìm x, y
a) 2 5/x = 21/x (x ∈ N*)
b) x/7 = 5/y (x; y ∈ Z, x > y)
a, bạn viết rõ đề ra nhé
b, \(\Rightarrow xy=35\Rightarrow x;y\inƯ\left(35\right)=\left\{\pm1;\pm5;\pm7;\pm35\right\}\)
x | 1 | -1 | 5 | -5 | 7 | -7 | 35 | -35 |
y | 35 | -35 | 7 | -7 | 5 | -5 | 1 | -1 |
Tìm x,y biết: \(\dfrac{x}{19}=\dfrac{y}{21}\)và 2x -y = 34.
A.x = 38; y = 42; B.x = -38; y = -42; C. x = 21; y = 19 D.x = -21; y = -1
Tìm x,y
a)\(\dfrac{x}{3}=\dfrac{7}{y}\)
b)\(\dfrac{x}{y}=\dfrac{1}{6}\)
c)\(\dfrac{x}{7}=\dfrac{y}{-3}\)
a) Ta có: \(\dfrac{x}{3}=\dfrac{7}{y}\)
nên xy=21
b) Ta có: \(\dfrac{x}{y}=\dfrac{1}{6}\)
nên y=6x
c) Ta có: \(\dfrac{x}{7}=\dfrac{y}{-3}\)
nên -3x=7y
Bài 2:Tìm y
a) 242/363 + 1616/2121 = 2/7 x y
b) (y + 1/4) + (y + 1/16) + (y + 1/16) =2
\(a,\dfrac{242}{363}+\dfrac{1616}{2121}=\dfrac{2}{7}\times y\)
\(\dfrac{2}{7}\times y=\dfrac{2\times121}{3\times121}+\dfrac{16\times101}{21\times101}\)
\(\dfrac{2}{7}\times y=\dfrac{2}{3}+\dfrac{16}{21}\)
\(\dfrac{2}{7}\times y=\dfrac{14}{21}+\dfrac{16}{21}\)
\(\dfrac{2}{7}\times y=\dfrac{30}{21}\)
\(\dfrac{2}{7}\times y=\dfrac{10}{7}\)
\(y=\dfrac{10}{7}:\dfrac{2}{7}\)
\(y=\dfrac{10}{7}\times\dfrac{7}{2}\)
\(y=5\)
\(---\)
\(b,\left(y+\dfrac{1}{4}\right)+\left(y+\dfrac{1}{16}\right)+\left(y+\dfrac{1}{16}\right)=2\)
\(\left(y+y+y\right)+\left(\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{16}\right)=2\)
\(3\times y+\left(\dfrac{4}{16}+\dfrac{2}{16}\right)=2\)
\(3\times y+\dfrac{6}{16}=2\)
\(3\times y+\dfrac{3}{8}=2\)
\(3\times y=2-\dfrac{3}{8}\)
\(3\times y=\dfrac{16}{8}-\dfrac{3}{8}\)
\(3\times y=\dfrac{13}{8}\)
\(y=\dfrac{13}{8}:3\)
\(y=\dfrac{13}{8}\times\dfrac{1}{3}\)
\(y=\dfrac{13}{24}\)
#\(Toru\)
` 242/363 + 1616/2121 = 2/7 xxy`
`2/7 xxy= 2/3 + 16/21`
`2/7 xxy= 14/21 +16/21`
`2/7 xxy= 30/21`
`y=10/7 : 2/7`
`y=10/7 xx 7/2`
`y=70/14`
`y=5`
__
` (y + 1/4) + (y + 1/16) + (y + 1/16) =2`
`(y+y+y)+(1/4 + 1/16+1/16)=2`
`3y + (4/16 +1/16 +1/16)=2`
`3y + 6/16=2`
`3y=2-6/16`
`3y= 32/16-6/16`
`3y= 26/16`
`y=26/16 : 3`
`y=26/48`
`y=13/24`
tìm x,y
A) \(\dfrac{x}{y}=\dfrac{7}{4}\) và x+y=33
b) 3.(x-1)+5=-19
a,Ta có:
\(\dfrac{x}{y}=\dfrac{7}{4}=\dfrac{x}{7}=\dfrac{y}{4}\)
ÁP dụng tcdtsbn , ta có:
\(\dfrac{x}{7}=\dfrac{y}{4}=\dfrac{x+y}{7+4}=\dfrac{33}{11}=3\)
\(\Rightarrow\left\{{}\begin{matrix}x=21\\y=12\end{matrix}\right.\)
b,
\(\Rightarrow3.\left(x-1\right)=-24\)
\(\Rightarrow x-1=-8\)
\(\Rightarrow x=-7\)
A)\(\dfrac{x}{y}=\dfrac{7}{4}\Rightarrow\dfrac{x}{7}=\dfrac{y}{4}\)
Áp dụng t/c dtsbn ta có:
\(\dfrac{x}{7}=\dfrac{y}{4}=\dfrac{x+y}{7+4}=\dfrac{33}{11}=3\)
\(\dfrac{x}{7}=3\Rightarrow x=21\\ \dfrac{y}{4}=3\Rightarrow y=12\)
B) \(3\left(x-1\right)+5=-19\\ \Rightarrow3\left(x-1\right)=-24\\ \Rightarrow x-1=-8\\ \Rightarrow x=-7\)
x^2+y^2 biết x+y=-8 và xy=15
A:210 B:120 C: 43 D: 34
\(x^2+y^2=\left(x+y\right)^2-2xy=\left(-8\right)^2-2\cdot15=34\)
Chọn D.
Câu 2 : Tìm y
a. Y x 15 – y x 25 + y x 15 = 3780 - 255
b. 341 + 448 : y – 141 = 214
\(a)\)
\(y\times15-y\times25+y\times15=3780-255\)
\(y\times15-y\times25+y\times15=3525\)
\(y\times\left(15-25+15\right)=3525\)
\(y\times5=3525\)
\(y=3525:5\)
\(y=705\)
\(b)\)
\(341 + 448 : y - 141 = 214\)
\(341 + 448 : y = 214+141\)
\(341 + 448 : y = 355\)
\(448:y=355-341\)
\(448:y=14\)
\(y=448:14\)
\(y=32\)
tìm y
a. y x 42 + y x 57 + y = 25400
b. 142 x y - 41 x y - y = 408000
a) y x 42 + y x 57 + y = 25 400
y x ( 42 + 57 + 1 ) = 25 400
y x 100 = 25 400
y = 25 400 : 100
y = 254
b) 142 x y - 41 x y - y = 408 000
y x ( 142 - 41 - 1 ) = 408 000
y x 100 = 408 000
y = 408 000 : 100
y = 4 080
a.y*(42+57+1)=25400
y*100=25400
y=25400:100=254
b.(142-41-1)*y=408000
100*y=408000
y=408000:100=4080
a. y x 42 + y x 57 + y = 25400
y = 25400 : (42 + 57 + 1)
y = 25400 : 100
y = 254.
b. 142 x y - 41 x y - y = 408000
y = 408000 : (142 - 41 - 1)
y = 408000 : 100
y = 4080.
tìm x, y biết :
1, x/y=7/13 và x+y= -60
2, x/16=y/21 và 2x-y=34
\(\frac{x}{y}=\frac{7}{13}\Rightarrow\frac{x}{7}=\frac{y}{13}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{x}{7}=\frac{y}{13}=\frac{x+y}{7+13}=-\frac{60}{20}=-3\)
Suy ra : \(\frac{x}{7}=-3\Rightarrow x=-3.7=-21\)
\(\frac{y}{13}=-3\Rightarrow y=-3.13=-39\)
vay : x=-21 va y=-39
------------------------------------------------
\(\frac{x}{16}=\frac{y}{21}\Rightarrow\frac{2x}{32}=\frac{y}{21}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{2x}{32}=\frac{y}{21}=\frac{2x-y}{32-21}=\frac{34}{11}=?\)
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