Question

if 2x + 3y = 17 and 4x - y = 13 then xy =​

Answer 1

Answer:

This is the correct answer

Answer 2

Answer:

Given:

⟶ 2x + 3y = 17 .... eq(1)

⟶ 4x - y = 13 .... eq(2)

Find:

⟶ Value of xy??

Solution:

⟶ Multiplying eq(2) with 3:-

$: { \mapsto{ \sf{3(4x - y) = 3(13)}}}$

$: { \mapsto{ \sf{12x - 3y = 39...eq(3)}}}$

: ⟶ Adding eq (1) and (3) :-

${ \longmapsto{ \sf{2x + 3y + (12x - 3y) = 17 + 39}}}$

${ \longmapsto{ \sf{2x + 3y + 12x - 3y = 56}}}$

${ \longmapsto{ \sf{14x = 56}}}$

${ \longmapsto{ \sf{x = \frac{56}{14} }}}$

${ \longmapsto{ \sf{x = 4}}}$

: ⟶ Finding value of y:-

Substituting x value in eq(1) :-

$: { \to{ \sf{2x + 3y = 17}}}$

$: { \to{ \sf2(4) + 3y = 17{}}}$

$: { \to{ \sf{8 + 3y = 17}}}$

$: { \to{ \sf{3y = 17 - 8}}}$

$: { \to{ \sf{3y = 9}}}$

$: { \to{ \sf{y = \frac{9}{3} }}}$

$: { \to{ \sf{y = 3}}}$

Finding value of xy:-

➞ xy = 4(3) = 12

➞ xy = 12

∴ value of xy = 12