Question

Solve the following simultaneous equations

$3(x-5)=y-2;\frac{3x}{5}=(x-2)$

• A. $x=5,y=2$
• B. $x=2,y=5$
• C. $x=1,y=2$
• D. $x=5,y=1$

Answer 1

The correct option is A $x=5,y=2$

We have,

$\frac{3x}{5}=x-2⟹3x=5x-10⟹-2x=-10\therefore x=5$

Now, $3(x-5)=y-2$

$⟹3x-15=y-2⟹3\times 5-15=y-2⟹y=2$

Hence, option (A) is the correct answer.