Systems of Equations Quiz: Substitution & Elimination

Question 1

Solve the system by substitution:
$$
\begin{cases}
y = 2x + 1 \
3x + y = 13
\end{cases}
$$

Accepted Answer

$(4,9)$

Answer

$(3,7)$

Answer

$(2,5)$

Answer

$\left(\frac{12}{5},\frac{29}{5}\right)$

Question 2

Solve the system by substitution:
$$
\begin{cases}
2x + 3y = 7 \
x = 4 - y
\end{cases}
$$

Accepted Answer

$(5,-1)$

Answer

$(1,3)$

Answer

$(3,1)$

Answer

$(\frac{5}{2},\frac{3}{2})$

Question 3

Solve the system and classify it:
$$
\begin{cases}
2(x-3) + y = 5 \
4x + 2y = 22
\end{cases}
$$

Accepted Answer

Infinitely many solutions (same line)

Answer

One solution: $(2,7)$

Answer

No solution (parallel lines)

Answer

One solution: $(4,7)$

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