The following system of linear equations 3 x + 5 y = 7 2 x - 5 y = 9 is:

Question

The following system of linear equations

$3 x + 5 y = 7$

$2 x - 5 y = 9$

is:

Smart Achievers · Accepted Answer

(1)

Ans. Consistent

Explanation:

Given,

$3 x + 5 y = 7$

$2 x - 5 y = 9$

The coefficient matrix is

$A = [\begin{matrix} 3 & 5 \\ 2 & - 5 \end{matrix}]$

Now, $| A |$ $= 3 (- 5) - 2 (5) = - 15 - 10 = - 25 \neq 0$

$∴$ $A^{- 1}$ can be calculated

$∴$ System of linear equations is consistent.

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