Step-by-step explanation:
-10x - y = 27 ...1
-4x - y = 9 ...2
...1 - ...2
-10x -y - (-4x - y) = 27 - 9
-10x -y +4x + y = 18
-10x + 4x = 18
-6x = 18
x = 18/(-6)
= -3
Answer:
x = - 3, y = 3
Step-by-step explanation:
Given the 2 equations
- 10x - y = 27 → (1)
- 4x - y = 9 → (2)
Multiplying (1) by - 1 and adding to (2) eliminates the term in y
10x + y = - 27 → (3)
Add (2) and (3) term by term to eliminate y
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into either of the 2 equations and solve for y
Substituting into (2)
- 4(- 3) - y = 9
12 - y = 9 ( subtract 12 from both sides )
- y = - 3 ( multiply both sides by - 1 )
y = 3
Solution is x = - 3, y = 3
