Methods2026 NHT Exam 2 Section A · Q14CAS active1 mark

System of linear equations with no solution

Consider the system of two linear equations below, where $a$ and $b$ are real numbers.

$\begin{aligned}&\text{Equation 1:} \quad 2x - 3y = 1\\ &\text{Equation 2:} \quad ax + by = 2\end{aligned}$

If $x = 1$ and $y = 2$ satisfies equation 2, it must be true that

1 mark

x = 4

and

y = 4

satisfies equation 2B

x = 4

and

y = 0

satisfies equation 2C

x = 3

and

y = 5

satisfies equation 2D

x = 5

and

y = 3

satisfies equation 2

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