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( 2 x y + 2/15 ) x 3 = 4/5
( 2 x y + 2/15 ) = 4/5 : 3
( 2 x y + 2/15 ) = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 :2
y = 1/15
(2 x y + 2/15) x 3 = 4/5
2 x y + 2/15) = 4/5 : 3
2 x y + 2/15 = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 : 2
y = 1/15
7/9 x (2 - 1/3 x y) = 14/15
(2 - 1/3 x y) = 14/15 : 7/9
(2 - 1/3 x y) = 6/5
2 - y = 6/5 x 1/3
2 - y = 2/5
y = 2/5 + 2
y = 12/5
4/21 + 5 x y - 8/7 = 1/3
4/21 + 5 x y = 1/3 + 8/7
4/21 + 5 x y = 31/21
5 x y = 31/21 - 4/21
5 x y = 9/7
y = 9/7 : 5
y = 9/35
7/12 x y - 3/12 x y = 5
y x (7/12 - 3/12) = 5
y x 1/3 = 5
y = 5 : 1/3
y = 15

1)\(\left(x+1\right).\left(y-2\right)=0\) \(\left(x,y\inℤ\right)\)
\(\Rightarrow\orbr{\begin{cases}x+1=0\\y-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\y=2\end{cases}}\)
2)\(\left(x-5\right).\left(y-7\right)=1\)
x-5 | 1 | -1 |
y-7 | 1 | -1 |
x | 6 | 4 |
y | 8 | 6 |
3)\(\left(x+4\right).\left(y-2\right)=2\)
x+4 | 1 | 2 | -1 | -2 |
y-2 | 2 | 1 | -2 | -1 |
x | -3 | -2 | -5 | -6 |
y | 4 | 3 | 0 | 1 |
4)\(\left(x-4\right).\left(y+3\right)=-3\)
x-4 | 1 | -1 | 3 | -3 |
y+3 | -3 | 3 | -1 | 1 |
x | 5 | 3 | 7 | 1 |
y | -6 | 0 | -4 | -2 |
5)\(\left(x+3\right).\left(y-6\right)=-4\)
x+3 | -1 | 1 | -4 | 4 | 2 | -2 |
y-6 | 4 | -4 | 1 | -1 | -2 | 2 |
x | -4 | -2 | -7 | 1 | -1 | -5 |
y | 10 | 2 | 7 | 5 | 4 | 8 |
6)\(\left(x-8\right).\left(y+7\right)=5\)
x-8 | 1 | 5 | -1 | -5 |
y+7 | 5 | 1 | -5 | -1 |
x | 9 | 13 | 7 | 3 |
y | -2 | -6 | -12 | -8 |
7)\(\left(x+7\right).\left(y-3\right)=-6\)
x+7 | -1 | 1 | -6 | 6 | -2 | 2 | -3 | 3 |
y-3 | 6 | -6 | 1 | -1 | 3 | -3 | 2 | -2 |
x | -8 | -6 | -13 | -1 | -9 | -5 | -10 | -4 |
y | 9 | -3 | 4 | 2 | 6 | 0 | 5 | 1 |
8)\(\left(x-6\right).\left(y+2\right)=7\)
x-6 | 1 | 7 | -1 | -7 |
y+2 | 7 | 1 | -7 | -1 |
x | 7 | 13 | 5 | -1 |
y | 5 | -1 | -9 | -3 |
ok :)

a) \(x.\left(y+9\right)+5x\)
Tại \(x=-7;\) \(y=-5\)thì
\(\left(-7\right).\left(-5+9\right)+5.\left(-7\right)\)
\(=-28-35=-63\)
b) \(\left(x+5\right)\left(x+3\right)\)
Tại \(x=-7\) thì:
\(\left(-7+5\right)\left(-7+3\right)\)
\(=\left(-2\right).\left(-4\right)\)\(=8\)
c (-15) .x + (-7).y, vs x= -4 y =-3
thì -15. -4 + -7 .-3 = 60 + 21 = 71
d: (315- 427).x + (46- 89).y vs x= -4 y = -3
thì (315-427).-4 + ( 46- 89 ). -3 = -112 . -4 + -43. -3 = 448 + 129 =577


a ) 5x=2y
b) 7x = 3y
c ) 3+x /7+y= 3/7
=> (3+x).7= (7+y).3
21 + 7x = 21 + 3y
=> 7x = 3y
=> x/y = 3/7 => x= 20:(7+3).3=6
=> y = 20 - 6 = 14
Vậy (x;y) thuộc {(6;14)}

\(\frac{3+x}{7+y}=\frac{3}{7};x+y=20\)
\(\Leftrightarrow21+7x=21+3y\Leftrightarrow7x=3y\Leftrightarrow\frac{x}{3}=\frac{y}{7}\)
Áp dụng t/c dãy tỉ số ''='' nhau ta có
\(\frac{x}{3}=\frac{y}{7}=\frac{x+y}{3+7}=\frac{2}{10}=\frac{1}{5}\)
\(\Leftrightarrow\frac{x}{3}=\frac{1}{5}\Leftrightarrow5x=3\Leftrightarrow x=\frac{3}{5}\)
\(\Leftrightarrow\frac{y}{7}=\frac{1}{5}\Leftrightarrow5y=7\Leftrightarrow y=\frac{7}{5}\)
