CBSE · Class 10 · Mathematics · Pair of Linear Equations in Two VariablesSolve the pair of linear equations $x + y = 14$ and $x - y = 4$ using the substitution method.

Given system of linear equations:

1. $x + y = 14$ --- (Equation 1)
2. $x - y = 4$ --- (Equation 2) \nFrom Equation 2, express $x$ in terms of $y$: $$x = y + 4$$ --- (Equation 3) \nSubstitute the value of $x$ from Equation 3 into Equation 1: $$(y + 4) + y = 14$$ $$2y + 4 = 14 \implies 2y = 10 \implies y = 5$$ \nNow substitute $y = 5$ back into Equation 3 to find $x$: $$x = 5 + 4 = 9$$ \nTherefore, the required solution for the given pair of linear equations is $x = 9$ and $y = 5$.