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)

d

Step-by-step 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

It's d. (16,21).

Step-by-step 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.