Sample quiz on linear systems using elimination
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1. Solve the linear system: $x+y=3,\quad x-y=1$
   
   $x=1,\quad y=2$
   $x=0,\quad y=3$
   $x=2,\quad y=1$
   $x=3,\quad y=0$
   
2. Solve the linear system: $2x+y=12,\quad 3x-y=3$
   
   $x=3,\quad y=6$
   $x=6,\quad y=3$
   $x=-3,\quad y=-6$
   $x=-6,\quad y=-3$
3. Solve the linear system: $x-y=0,\quad x+2y=-3$
   
   $x=0,\quad y=0$
   $x=1,\quad y=1$
   $x=-1,\quad y=1$
   $x=-1,\quad y=-1$
4. If $2x-3y=5$ and $3x-2y=5$, then the values of $y$ and $x$, in that order, are $\cdots$?
   
   $1$ and $-1$
   $-1$ and $1$
   $2.5$ and $0$
   $0$ and $2.5$
5. Solve the linear system: $\frac{x}{2}+\frac{y}{3}=0\quad x+2y=-4$
   
   $x=0,\quad y=0$
   $x=2,\quad y=-3$
   $x=-2,\quad y=-3$
   $x=-2,\quad y=3$
6. Solve the linear system: $0.2x-0.3y=-2,\quad 0.1x+0.25y=3$
   
   $x=5,\quad y=10$
   $x=10,\quad y=5$
   $x=-5,\quad y=10$
   $x=-10,\quad y=5$
7. The lines $ax-by=4$ and $bx+ay=3$ intersect at $(1,2)$. Find the values of $a$ and $b$.
   
   $a=1,\quad b=2$
   $a=2,\quad b=1$
   $a=2,\quad b=-1$
   $a=-2,\quad b=1$
8. Solve the linear system: $x+3y=13,\quad 3x+y=7$
   
   $x=13,\quad y=0$
   $x=0,\quad y=7$
   $x=4,\quad y=1$
   $x=1,\quad y=4$
9. Find the coordinates of the point of intersection of the lines $x-y=-1$ and $x+y=9$
   
   $(4,5)$
   $(5,4)$
   $(0,1)$
   $(1,0)$
10. Which of the following linear systems has the same solution set as $x+3y=6,\quad 2x-5y=1$?
    
    $2x+6y=12,\quad 6x+15y=3$
    $2x+6y=12,\quad 6x-15y=3$
    $2x-6y=12,\quad 6x-15y=3$
    $2x+6y=1.2,\quad 6x-15y=1.5$