The solutions of the equations a (5x-3) / 5 = (3a + 1) x / 3 and 5 (x + 2) = 2A + 3 of X are the same

a(5x-3)/5=(3a+1)x/3
x=-9a/5
5(x+2)=2a+3
x=(2a-7)/5
-9a/5=(2a-7)/5
a=7/11

If the solutions of the two equations (3a + 1) x = a (5x-3) and 5 (x + 2) = 2A + 3 about X are the same, try to find the value of A

a=7/11

If the solutions of two equations a (5x-3) / 5 = (3a + 1) / 3 and 5 (x + 2) = 2A + 3 about X are the same, try to find the value of A

Answer: the solutions of the two equations 5 (x + 2) = 2A + 3 and (3a + 1) x / 3 = a (5x-3) / 5 are the same
x+2=(2a+3)/5
x=(2a+3)/5-2
(3a+1)x/3=a(5x-3)/5
Multiply both sides by 15 to get 5 (3a + 1) x = 3A (5x-3)
15ax+5x=15ax-9a
5x=-9a
x=-9a/5
So: x = (2a + 3) / 5-2 = - 9A / 5
So: 2A + 3-10 = - 9A
2a+9a=10-3
11a=7
a=7/11

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