(a) Suppose Y1(t) is a solution of an autonomous system dY/dt = F(Y). Show that Y2(t) = Y1(t +t0) is also a solution for any con
stant t0. (b) What is the relationship between the solution curves of Y1(t) and Y2(t)?
1 answer:
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Answer: x= 8.
Step-by-step explanation: Given equation -3(2x-3)=25-8x.
Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.
Therefore, applying Distributive property in first step, we get
-6x +9 = 25-8x.
Step 2: We need to get rid 9 from left side to get constant numbers on right side.
9 is being added on left side.
So, we would apply reverse operation of addition.
Therefore, applying Subtraction property of equality, we get
-6x +9-9 = 25-8x-9
-6x =16 -8x.
Step 3: We need to get rid 8x from right side.
The reverse operation of subtraction is addition.
Therefore, applying Addition property of equality, we get
-6x+8x =16 -8x+8x
2x = 16.
Step 4: We need to isolate it for x.
So, applying Division property of equality, we get