First slide

System of linear equations

Question

If the system of equations $a x + y = 3, x + 2 y = 3$ , $3 x + 4 y = 7$ is consistent, then value of a is given by

Moderate

A

$2$
B

1
C

$- 1$
D

$0$

Solution

Solving $x + 2 y = 3, 3 x + 4 y = 7$ , we get
$\begin{array}{l} x = 1, y = 1 \\ ∴ a + 1 = 3 \Rightarrow a = 2 \end{array}$

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