Question

To eliminate x from equations $x+y+3x=12\to$ ....... (1) & $8x+3y=17\to$ ..... (2), equation (2) is to be multiplied by ..............( from the given options)

• A. 8
• B. $-\frac{1}{2}$
• C. 3
• D. None of the above

Answer 1

The correct option is B $-\frac{1}{2}$

The given equations are
$x+y+3x=12$ ........ (1)
and $8x+3y=17$ ....... (2)
Equation (i) can be further simplified as $4x+y=12$
So, to eliminate x, equation (2) should be multiplied by $-\frac{1}{2}$.