Question

If 2x - 3y = 14 and 5x + 2y = 16, then

a) x = 2, y = 4 b) x = -2, y = 4 c) x = 4, y = 2 d) x = 4, y = -2​

Answer 1

Answer:

Opt d

Step-by-step explanation:

x = 4 and y = -2

1st eq

= 2(4) -3(-2)

= 8 +6

= 14

2nd eq

=5(4) + 2(-2)

= 20 - 4

=16

Answer 2

EXPLANATION.

→ 2x - 3y = 14 ......(1)

→ 5x + 2y = 16 ......(2)

From equation (1) and (2) we get,

→ multiply equation (1) by 2

→ multiply equation (2) by 3

→ 4x - 6y = 28

→ 15x + 6y = 48

→ 19x = 76

→ x = 4

→ Put the value of x = 4 in equation (1)

we get,

→ 2x - 3y = 14

→ 2(4) - 3y = 14

→ 8 - 3y = 14

→ -3y = 6

→ y = -2

→ option [ D ] is correct answer.