If x = a, y = b is the solution of the equation x − y = 6 and x + y = 4 then the vlaue of a
and b are, respectively.
(a) 3 and 5 (b) 5 and -1 (c) 5 and 1 (d) -1 and -3
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Answer:
b) 5 and -1
Step-by-step explanation:
given: x - y = 6
x = 6 + y {equation 1}
And, x + y = 4
y = 4 - x
y = 4 - (6 + y) { from equation 1, x = 6 + y}
y = 4 - 6 - y
y = -2 - y
y + y = -2
2y = -2
y = -2/2
y = -1
substituting "y = -1" in equation 1
x = 6 + y
x = 6 + (-1)
x = 6 - 1
x = 5
from the question since, x = a and y = b
therefore, a = 5 and b = -1
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