I READ IT WRONG AHH
Answer:
3
Step-by-step explanation:
5x + 1/4 = 61/4
-1/4 -1/4
5x = 15
/5 /5
x = 3
(-2, 0)
y = 2x+4
6x - 3y = -12
Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...
2x - y = -4
Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...
2x-3(2x+4)=-4
Distribute the -3
2x-3(2x)-3(4)=-4
2x-6x-12=-4
Combine like terms
-4x-12=-4
Add 12 to both sides
-4x-12+12=-4+12
-4x=8
Divide both sides by -4
x=-2
Plug -2 back in for x to solve for y:
y = 2(-2) + 4
y=-4+4
y=0
(x, y) = (-2, 0)
(E) I, II and III
Given,
[email protected] = a + b - ab ∀ a, b ∈ Z ( set of all integers ),
For solving this question we need to remember the following properties of integers:
I. [email protected] = a + b - ab,
[email protected] = b + a - ba = a + b - ab
Thus, [email protected] = [email protected]
II. [email protected] = a + 0 - a × 0
= a + 0 - 0
= a
III. ([email protected])@c = ([email protected])+c - ([email protected])c
= (a + b - ab) + c - (a + b - ab)c
= a + b - ab + c - ac - bc + abc
= a + b + c - ab - bc - ac + abc,
Now, [email protected]([email protected]) = [email protected]( b + c - bc )
= a + (b + c - bc) - a(b+c - bc)
= a + b + c - bc - ab - ac + abc
= a + b + c - ab - bc - ac + abc.
Thus, ([email protected])@c = [email protected]([email protected])
