If the sum of two numbers is $15$ and the subtraction is $1,$ then the smaller number of these two numbers is.........

If $x=a$ and $y=b$ is the solution of the equations $x-y=2$ and $x+y=4,$ then the values of $a$ and $b$ are,respectively:

By the method of substitution,solve the following pair of linear equations: $3x - 7y = 18, 6x - 14y = 12$.

$6$ students of class $X$ took part in the Ramanujan Competitive Examination. The number of girl participants is $2$ less than the number of boy participants. Find the number of girls and the number of boys who took part in the examination using a graph.

Solve the following pair of linear equations in two variables using a graph: $y = 2$,$x + 4y = 10$.

Solve the following pairs of equations by the cross-multiplication method:
$4x - 19y + 13 = 0$
$13x - 23y + 19 = 0$