What is the solution to this system of linear equations? x + y = 4 x − y = 6 A: (4, 6) B: (6, 4) C: (5, −1) D: (−1, 5)
1 answer:
Answer:
C
Step-by-step explanation:
Given the 2 equations
x + y = 4 → (1)
x - y = 6 → (2)
Add the 2 equations term by term to eliminate y, that is
2x = 10 ( divide both sides by 2 )
x = 5
Substitute x = 5 into either of the 2 equations and evaluate for y
Substituting into (1)
5 + y = 4 ( subtract 5 from both sides )
y = - 1
solution is (5, - 1 ) → C
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