Question

The values of $x$ and $y$ for which $(3x-7)+2iy=-5y+(5+x)i$ are

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

Answer 1

The correct option is C $x=-1,y=2$

Given $(3x-7)+2iy=-5y+(5+x)i$

Equating the real parts and imaginary parts, we get
$3x-7=-5y\text{and}2y=5+x\Rightarrow 3x+5y=7\text{and}x-2y=-5$
On solving both the equations, we get
$x=-1,y=2$