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td0715
23.08.2019 •
Mathematics
(1 point) given f(x)=x2f(x)=x2, after performing the following transformations: shift upward 42 units and shift 83 units to the right, the new function g(x)
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Ответ:
The solution for this system is x = 3 and y = - 1.
Step-by-step explanation:
1. Let's solve the system of equations to find out the value of x and y:
1st equation:
2x + 3y = 3
2x = 3 - 3y (Subtracting 3y at both sides)
x = 3/2 - 3y/2 (Dividing by 2 at both sides)
2nd equation:
7x - 3y = 24
Replacing x with the result of the 1st equation:
7 (3/2 - 3y/2) - 3y = 24
21/2 - 21y/2 - 3y = 24
- 21y/2 - 3y = 24 - 21/2 (Subtracting 21/2 at both sides)
-21y - 6y = 48 - 21 (Multiplying by 2 at both sides)
- 27y = 27
y = - 1 (Dividing by - 27 at both sides)
Now we can find out the value of x:
2x + 3y = 3
2x + 3( -1) = 3
2x - 3 = 3
2x = 6 (Adding 6 at both sides)
x = 3 (Dividing by 2 at both sides)
3. Let's prove that x = 3 and y = -1 are correct in the 2nd equation:
7x - 3y = 24
7 ( 3) - 3 (-1) = 24
21 + 3 = 24
24 = 24
We proved that x = 3 and y = -1 are correct.