The solution for x – y = - 3 and 2x + y = 12 by solving linear systems by substitution is (x, y) = (3, 6)
Solution:
Given, two system of equations are x – y = - 3 ⇒ (1)
And 2x + y = 12 ⇒ (2)
We have to solve the given system of equations by substitution method.
Now, we can write (1) as x – y = - 3 ⇒ x = y – 3
Then, substitute x value in (2)
(2) ⇒ 2(y – 3) + y = 12
⇒ 2y – 6 + y = 12
⇒ 2y + y = 12 + 6
⇒ 3y = 18
⇒ y = 6
So, substitute y value in (1) ⇒ x – 6 = - 3
⇒ x = 6 – 3
⇒ x = 3
Hence, the solution of system of equations is (x, y) = (3, 6)
