Question

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

Answer 1

GIVEN :-

• x = 3.
• y = -2.
• Equation :- 2x - 13y = k

TO FIND :-

• K = ?

SOLUTION :-

★ x = 3.

★ y = -2.

☢ ACCORDING TO QUESTION ☢

→ 2x - 13y = k

→ k = 2x - 13y

★ Substitute all the values,

→ k = 2 × 3 - 13 × (-2)

→ k = 6 - (-26)

→ k = 6 + 26

→ k = 32

∴ The Value of k is 32.

★ VERIFICATION ★

→ 2x - 13y = k

→ k = 2x - 13y

★ Substitute all the values,

→ 32 = 2 × 3 - 13 × (-2)

→ 32 = 6 - (-26)

→ 32 = 32

L.H.S. = R.H.S.

HENCE VERIFIED.

Answer 2

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

• 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

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

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

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

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

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