Question

Sone for x and y

2x -y = 11
3x – 2y=6
Select one
a. (16.-21)
b. (4, -3)
c. (-3,4)
d. (16,21)​

Answer 1

It's d. (16,21).

Explanation:

2x - y = 11 .............(1)

3x – 2y = 6...........(2)

Multiply the first equation by -2:

-4x + 2y = -22.......(3)

Adding (2) + (3):

-x = -16

x = 16.

Substitute for x in equation (1):

2(16) - y = 11

-y = 11-32 = -21

y = 21.

Answer 2

d

Explanation:

Given the 2 equations

2x - y = 11 → (1)

3x - 2y = 6 → (2)

Multiply (1) by - 2 and adding will eliminate y

- 4x + 2y = - 22 → (3)

Add (2) and (3) term by term

(3x - 4x) + (- 2y + 2y) = (6 - 22)

- x = - 16 ( multiply both sides by - 1 )

x = 16

Substitute x = 16 into (1) or (2) for corresponding value of y

(1) : 32 - y = 11 ( subtract 32 from both sides )

- y = - 21 ( multiply both sides by - 1 )

y = 21

Solution is (16, 21 ) → d