Systems of Equations Practice Quiz with Answers

Question 1

Solve the system by substitution:
$$
\begin{cases}
 y = x + 2\
 x + y = 10
\end{cases}
$$

Accepted Answer

$(4,6)$

Answer

$(6,4)$

Answer

$(8,2)$

Answer

$(3,7)$

Question 2

Which system has **no solution**?

Accepted Answer

$\begin{cases}y=2x+1\y=2x-3\end{cases}$

Answer

$\begin{cases}y=2x+1\2y=4x+2\end{cases}$

Answer

$\begin{cases}y=2x+1\y=-2x-3\end{cases}$

Answer

$\begin{cases}x+y=5\x-y=1\end{cases}$

Question 3

Three-variable system: Solve for $(x,y,z)$.
$$
\begin{cases}
 x+y+z=6\
 x+y=4\
 z=2
\end{cases}
$$

Accepted Answer

$(2,2,2)$

Answer

$(4,0,2)$

Answer

$(2,2,4)$

Answer

$(1,3,1)$

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