Question

By Elimination Method
3x - 5y = 3
2x + 3y = 17​

Answer 1

Answer:

x=94/19

Explanation:

3x-5y=3......equation 1 ×3

2x+3y=17.....equation 2 ×5

multiplying equation 1st by 3 & 2nd by 5

9x-15y=9......equation 3rd

10x+15y=85...equation 4th

add equation 3&4

9x-15y=9.....3rd

10x+15y=85..4th add

19x+oy=94

x=94/19

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

To Find The value of x & y by Elimination Method :-

• 3x - 5y = 3

• 3x - 5y = 32x + 3y = 17

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✒ x = 76 & y = 45

$\mathtt{\huge{\underline{\orange{Solution:-}}}}$

3x - 5y = 3........(1)

2x + 3y = 17.........(2)

Multiply eqn.1 by 2 & eqn.2 by 3

3x - 5y = 3........(1) × 2

2x + 3y = 17.........(2) × 3

We get ,

6x - 10 y = 6 ..............(3)

6x - 9 y = 51..............(4)

-__+___-_________

- y = - 45

________________

y = 45

putting the value in 1 equation .,

3x - 5y = 3

=> 3x - 5×45 = 3

=> 3x - 225 = 3

=> 3x = 3 + 225

=> 3x = 228

=> x = $\cancel{\dfrac{228}{3}}$

=> x = 76

$\mathtt{\huge{\underline{\pink{Verification:-}}}}$

put value of x & y in eqn 1

3x - 5y = 3........(1)

➝ 3× 76 - 5× 45 = 3

➝ 228 - 225 = 3

➝ 3 = 3

_______________________________________