Question

Tìm x, y Î Z, biết rằng: x-7/y-6 = 7/6 và x - y = -4

Giúp mk nhé tí mk nộp r

Answer 1

\(\dfrac{x-7}{y-6}=\dfrac{7}{6}\)

⇔ \(\dfrac{x-7}{7}=\dfrac{y-6}{6}\)

⇔ \(\dfrac{x}{7}=\dfrac{y}{6}\)

Áp dụng tính chất dãy tỉ số bằng nhau, ta có:

\(\dfrac{x}{7}=\dfrac{y}{6}=\dfrac{x-y}{7-6}=-4\)

⇒ \(\left\{{}\begin{matrix}x=-28\\y=-24\end{matrix}\right.\)

Vậy ...

Answer 2

\(\dfrac{x-7}{y-6}=\dfrac{7}{6}\text{ và }x-y=-4\)

\(\text{Có }\dfrac{x-7}{y-6}=\dfrac{7}{6}\)

\(\Rightarrow6.\left(x-7\right)=7.\left(y-6\right)\)

\(\Rightarrow6.x-6.7=7.y-7.6\)

\(\Rightarrow6x=7y\)

\(\text{Mà }x-y=-4\)

\(\Rightarrow6x-6y=-24\)

\(\Rightarrow7y-6x=-24\)

\(\Rightarrow1y=-24\)

\(\text{Và }x-y=-4\)

\(\Rightarrow x=\left(-4\right)+y=\left(-4\right)+\left(-24\right)=-28\)

\(\text{Vậy }x=-28\)

        \(y=-24\)

Answer 3

-24