Given:(i) \(C\left( {graphite} \right)\; + {O_2}\;\left( g \right) \to C{O_2}\;\left( g \right);\;{\Delta _r}\;{H^ \ominus } = x\;kJ\;mo{l^{ - 1}}\;\)(ii) \(C\left( {graphite} \right)\; + \frac{1}{2}\;{O_2}\;\left( g \right) \to C{O_2}\;\left( g \right);\;{\Delta _r}\;{H^ \ominus } = y\;kJ\;mo{l^{ - 1}}\)(ii) \(C\left( {graphite} \right)\; + \frac{1}{2}\;{O_2}\;\left( g \right) \to C{O_2}\;\left( g \right);\;{\Delta _r}\;{H^ \ominus } = z\;kJ\;mo{l^{ - 1}}\)Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct?

• A. y = 2z – x
• B. x = y – z
• C. z = x + y
• D. x = y + z