First slide

System of linear equations

Question

The system of linear equations $a x + y = 3, x + 2 y = 3, 3 x + 4 y = 7$ are consistent , then the value of ‘a’ is

Very Easy

A

2
B

1
C

-1
D

0

Solution

Solving $x + 2 y = 3,$ and $3 x + 4 y = 7$ gives
$x = 1, y = 1$ , substituting in $a x + y = 3$
$\Rightarrow a + 1 = 3 \Rightarrow a = 2$

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