Question

Solve the system of equations

system

Answer 1

(3,3)

Explanation:

6x+y=21

6x+3x-6=21

9x-6=21

9x-6+6=21+6

9x=27

9x/9 27/9

x=3

y=3x-6

y=(3)(3)-6

y=3

Answer 2

(3, 3 )

Explanation:

Given the 2 equations

3x - y = 6 → (1)

6x + y = 21 → (2)

Adding the 2 equations term by term will eliminate y, that is

(6x + 3x) + (y - y) = (21 + 6), that is

9x = 27 (divide both sides by 9 )

x = 3

Substitute x = 3 into either (1) or (2) and solve for y

Using (2), then

(6 × 3) + y = 21

18 + y = 21 ( subtract 18 from both sides )

y = 3

Solution is (3, 3 )