Question

Find the solution of this system of equations.

Separate the x- and y-values with a comma.
x - 2y = -6
x - y = 12

Answer 1

x = 30, y = 18

Explanation:

Given the 2 equations

x - 2y = - 6 → (1)

x - y = 12 → (2)

Subtracting (2) from (1) term by term will eliminate the term in x

||(x - x) + (- 2y - (- y)) = (- 6 - 12), that is

- y = - 18 ( multiply both sides by - 1 )

y = 18

Substitute y = 18 into either of the 2 equations for value of x

Substituting in (2)

x - 18 = 12 ( add 18 to both sides )

x = 30

Answer 2

Answer: (30,18)

x - 2y = -6

x - y = 12

x - y = 12

- y = 12 - x

y = -12 + x

x - 2y = -6

x = -6 + 2*y

y = -12 + (-6+ 2*y)

y = -12 - 6 + 2*y

y - 2*y = -18

-y = -18

y = 18

y = -12 + x

18 = -12 + x

-x = -12 - 18

x = 12 + 18

x = 30