Question

if 2x+3y =4 and 3x+2y =1 then find the value of x-y​

Answer 1

Step-by-step explanation:

$\orange{\mathcal{\underline{\underline{Given:-}}}}Given:−</p><p></p><p>Two Equations</p><p></p><p>\sf{2x + 3y = 4 \: \: \: \: ...(i)}2x+3y=4...(i)</p><p></p><p>\sf{3x + 2y = 1 \: \: \: \: ...(ii)}3x+2y=1...(ii)</p><p></p><p>\orange{\mathcal{\underline{\underline{To \: find:-}}}}Tofind:−</p><p></p><p>Value Of \sf{x-y}x−y</p><p></p><p>\rm \underline{ \blue{ \boxed{ \bf \red{Solution:}}}}Solution:</p><p></p><p>\sf\green{Multiply \: (i) \: by \: 3 \: And \: \: Multiply \: (ii) \: by \: 2}Multiply(i)by3AndMultiply(ii)by2</p><p></p><p>We Get,</p><p></p><p>\sf{6x + 9y = 12\: \: \: \: ...(iii)}6x+9y=12...(iii)</p><p></p><p>\sf{6x + 4y = 2 \: \: \: \: ...(iv)}6x+4y=2...(iv)</p><p></p><p>Now, Subtract ( iv ) from ( iii )</p><p></p><p>\sf{5y=10}5y=10</p><p></p><p>\sf{y=2}y=2</p><p></p><p>Substitute y = 2 in ( i )</p><p></p><p>\sf{x=-1}x=−1</p><p></p><p>Hence,</p><p></p><p>\sf\red{x=-1 \: \: , \: y=2}x=−1,y=2</p><p></p><p>Value Of ( x - y ) :</p><p></p><p>\sf{\bigstar{\blue{\boxed{-1-2=-3}}}}\bigstar★−1−2=−3★</p><p></p><p>\sf \underline{ \blue{ \boxed{ \bf \purple{Verification:}}}}Verification:</p><p></p><p>\sf{2x+3y=4}2x+3y=4</p><p></p><p>\sf{2×(-1)+3×2=4}2×(−1)+3×2=4</p><p></p><p>\sf{-2+6=4}−2+6=4</p><p></p><p>\sf{4=4}4=4</p><p></p><p>\bf\checkmark{\red{\boxed{Verified}}}✓Verified</p><p></p><p>$

Answer 2

Given:

• 2x + 3y = 4 ... ( 1 )
• 3x + 2y = 1 ... (2)

To Find:

• Value of (x - y)

Solution:

Subtract ( 1 ) from (2)

3x + 2y = 1 - ( 2x + 3y = 4)

3x + 2y = 1 + {- 2x - 3y = (- 4)}

(3-2)x + (2-3)y = (-4) + 1

x - y = -3

x - y = (-3)