Simultaneous equations Quiz

1. Solve $y=x+3$ and $2x+y=12$.

• A. $x=4$, $y=7$
• B. $x=3$, $y=6$
• C. $x=6$, $y=3$
• D. $x=9$, $y=12$

2. Solve $x+y=10$ and $x-y=2$.

• A. $x=4$, $y=6$
• B. $x=5$, $y=5$
• C. $x=8$, $y=2$
• D. $x=6$, $y=4$

3. Solve $2x+3y=12$ and $4x+3y=18$.

• A. $x=3$, $y=2$
• B. $x=2$, $y=3$
• C. $x=6$, $y=0$
• D. $x=1$, $y=\frac{10}{3}$

4. The graphs of two linear equations cross at the point $(4,-1)$. What is the solution of the pair?

• A. $x=-1$, $y=4$
• B. $x=4$, $y=1$
• C. $x=4$, $y=-1$
• D. There is no solution

5. Two adult tickets and one child ticket cost 30. One adult ticket and two child tickets cost 24. Find the adult price $a$ and child price $c$.

• A. $a=10$, $c=10$
• B. $a=12$, $c=6$
• C. $a=6$, $c=12$
• D. $a=14$, $c=2$