Question

If 2x+3y=4 & 3x+2y=1 then find the value of x-y​

Answer 1

Answer:

x=-1,y=2

Step-by-step explanation:

given 2x+3y=4 and 3x+2y=1

2x+3y=4 eq 1

3x+2y=1.eq 2

making x coefficiants equal

3×2x+3y=4

2×3x+2y=1

6x+9y=12

6x+4y=2

changing sings (elimination method)

6x+9y=12

-6x-4y=-2

6x,-6x gets cancelled

5y=10

y=2

substitute y=3 in eq

2x+3(2)=4

2x=4-6

2x=-2

x=-1

Answer 2

$\orange{\mathcal{\underline{\underline{Given:-}}}}$

• Two Equations
• $\sf{2x + 3y = 4 \: \: \: \: ...(i)}$

• $\sf{3x + 2y = 1 \: \: \: \: ...(ii)}$

$\orange{\mathcal{\underline{\underline{To \: find:-}}}}$

• Value Of $\sf{x-y}$

$\rm \underline{ \blue{ \boxed{ \bf \red{Solution:}}}}$

$\sf\green{Multiply \: (i) \: by \: 3 \: And \: \: Multiply \: (ii) \: by \: 2}$

We Get,

$\sf{6x + 9y = 12\: \: \: \: ...(iii)}$

$\sf{6x + 4y = 2 \: \: \: \: ...(iv)}$

Now, Subtract ( iv ) from ( iii )

$\sf{5y=10}$

$\sf{y=2}$

Substitute y = 2 in ( i )

$\sf{x=-1}$

Hence,

$\sf\red{x=-1 \: \: , \: y=2}$

Value Of ( x - y ) :

$\sf{\bigstar{\blue{\boxed{-1-2=-3}}}}\bigstar$

$\sf \underline{ \blue{ \boxed{ \bf \purple{Verification:}}}}$

$\sf{2x+3y=4}$

$\sf{2×(-1)+3×2=4}$

$\sf{-2+6=4}$

$\sf{4=4}$

$\bf\checkmark{\red{\boxed{Verified}}}$