Question

The value of k if x = 3 and y = -2 is a solution of the equation 2x - 13y = k is​ solve and explain

Answer 1

Explanation:

$\sf \large \underline{ \red{Question} }:-$

The value of k if x = 3 and y = -2 is a solution of the equation 2x - 13y = k is

$\sf \large \underline{ \red{given} }:-$

The value of k if x = 3

The value of k if y = -2

$\sf \large \underline{ \red{to \: find} }:-$

Find The value of k

$\sf \large \underline{ \red{solution} }:-$

$\sf \to \: 2x - 13y = k \\ \\ \sf \underline{putting \: all \: values : } \\ \\ \sf \to \: 2 \times 3 - 13 \times ( - 2) = k \\ \\ \sf \to \: 6 + 26 = k \\ \\ \sf \to \: 32 = k \\ \\ \sf \to \red{k \: = 32}$

$\sf \large \underline{ \red{verification}} \: \huge \dag$

$\sf \to \: 2x - 13y = k \\ \\ \sf \to \: 2 \times 3 - 13 \times ( - 2) = 32 \\ \\ \sf \to \:6 + 26 = 32 \\ \\ \sf \to \:32 = 32$

$\sf \large \underline{ \red{hence \: verified}} \: \huge \dag$