solve it ....
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Answers
Answer:
4,3
Step-by-step explanation:
Given, (3, - 1) is the point of intersection of lines ax + by = 9 and bx + ay = 5.
It satisfies both the equations.
(i)
Substitute x = 3 and y = -1 in the equation ax + by = 9, we get
a(3) + b(-1) = 9
3a - b = 9
(ii)
Substitute x = 3 and y = -1 in the equation bx + ay = 5, we get
b(3) + a(-1) = 5
a - 3b = -5
On solving (i) & (ii) * 3, we get
3a - b = 9
3a - 9b = -15
---------------------
8b = 24
b = 3.
Substitute b = 3 in (i), we get
3a - b = 9
3a - 3 = 9
3a = 12
a = 4.
∴ a = 4, b = 3.
Hope it helps!
Given, (3, - 1) is the point of intersection of lines ax + by = 9 and bx + ay = 5.
It satisfies both the equations.
(i)
Substitute x = 3 and y = -1 in the equation ax + by = 9, we get
a(3) + b(-1) = 9
3a - b = 9
(ii)
Substitute x = 3 and y = -1 in the equation bx + ay = 5, we get
b(3) + a(-1) = 5
a - 3b = -5
On solving (i) & (ii) * 3, we get
3a - b = 9
3a - 9b = -15
---------------------
8b = 24
b = 3.
Substitute b = 3 in (i), we get
3a - b = 9
3a - 3 = 9
3a = 12
a = 4.
∴ a = 4, b = 3.