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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 . x=\(\frac{15}{4};y=\frac{35}{4}\)
2 . x = -15 ; y = -21
a) \(5x=2y\Rightarrow\frac{x}{2}=\frac{y}{5}\) . Đến đấy áp dụng t/c dãy tỉ số bằng nhau : \(\frac{x}{2}=\frac{y}{5}=\frac{x+y}{2+5}=\frac{15}{7}\)
\(\Rightarrow x=\frac{15}{7}.2=\frac{30}{7}\) ; \(\Rightarrow y=\frac{15}{7}.5=\frac{75}{7}\)
b) \(\frac{x}{y}=\frac{3}{7}\Rightarrow\frac{x}{3}=\frac{y}{7}\). Áp dụng t/c dãy tỉ số bằng nhau : \(\frac{x}{3}=\frac{y}{7}=\frac{x-y}{3-7}=\frac{10}{-3}\)
\(\Rightarrow x=-10\) ; \(y=-\frac{70}{3}\)
c) Sai đề vì 2x = 3y => 2x - 3y = 0 mà giả thiết lại đưa ra 2x - 3y = 15 => mâu thuẫn
d) \(\frac{x+3y}{x-2y}=\frac{2}{3}\Leftrightarrow3\left(x+3y\right)=2\left(x-2y\right)\)
\(\Leftrightarrow3x+9y=2x-4y\Leftrightarrow x=-13y\)
Thay x = -13y vào x+2y = 1 được :
x + 2y = 1 => (-13y) + 2y = 1 => -11y = 1 => y = -1/11
=> x = -1/11 . -13 = 13/11
Câu b) mình có nhầm xíu : \(\frac{x}{3}=\frac{y}{7}=\frac{x-y}{3-7}=\frac{10}{-4}=-\frac{5}{2}\)
\(\Rightarrow x=-\frac{15}{2};y=-\frac{35}{2}\)
\(a,3\left(x-5\right)-4\left(x-3\right)=-12\)
\(\Leftrightarrow3x-15-4x+12=-12\)
\(\Leftrightarrow-x=-9\)
\(\Leftrightarrow x=9\)
Vậy x=9
\(x-y=15\Rightarrow x=15+y\)
\(\dfrac{x-4}{y-3}\)\(=\dfrac{4}{3}\)
\(\Rightarrow3x-12=4y-12\)
\(\Rightarrow3x=4y\)
\(\Rightarrow3\left(15+y\right)=4y\)
\(\Rightarrow45+3y=4y\)
\(\Rightarrow y=45\)
\(\Rightarrow x=45+15=60\)
Vậy..................
\(\dfrac{3}{5}=\dfrac{9}{15}\)
\(\dfrac{3}{-5}=\dfrac{-9}{15}\)
\(\dfrac{3}{x}=\dfrac{y}{15}\)
\(x.y=15\times3\)
\(x.y=45\)
\(\Rightarrow\left(x;y\right)=\left(5;9\right);\left(9;5\right);\left(15;3\right)\left(3;15\right)\)
\(\left(1\right):x=9;y=5\Rightarrow\dfrac{3}{9}=\dfrac{5}{15}\)
Xét đề bài, ta có:
\(\dfrac{3}{9}=\dfrac{1}{3};\dfrac{5}{15}=\dfrac{1}{3}\)
Mà \(\dfrac{1}{3}=\dfrac{1}{3}\)
\(\Rightarrow\left(x;y\right)=\left(9;5\right)tm.\)
\(\left(2\right):x=3;y=15\Rightarrow\dfrac{3}{3}=\dfrac{15}{15}\)
Xét đề bài, ta có:
\(\dfrac{3}{3}=1;\dfrac{15}{15}=1\)
Mà \(1=1\Rightarrow tm.\)
\(\left(3\right):x=15;y=3\Rightarrow\dfrac{3}{15}=\dfrac{3}{15}\)
Mà \(\dfrac{3}{15}\) = \(\dfrac{3}{15}\Rightarrow tm.\)
\(\left(4\right):x=5;y=9\Rightarrow\dfrac{3}{5}=\dfrac{9}{15}\)
Xét đề, ta có:
\(\dfrac{9}{15}=\dfrac{3}{5}\)
Mà \(\dfrac{3}{5}=\dfrac{3}{5}\Rightarrow tm.\)
⇒ Từ \(\left(1\right);\left(2\right);\left(3\right);\left(4\right)\), ta rút ra kết luận:
\(\left(x;y\right)=\left(5;9\right);\left(9;5\right);\left(3;15\right)\left(15;3\right)tm.\)