Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)

which can be rearranged as
.
Substituting this lone y into the first equation, you get:

Move everything to one side:

Factor:



2)
which can be rearranged as
.

Let's use elimination this time and subtract the first equation from the second:

Factor:



3)


Let's set the two equations equal to each other through substitution:

Move everything to one side:

Factor:



Hope this helps!
Answer:
25%
Step-by-step explanation:
If we consider the original price of the piece of suit is x.
Given that, on Monday during a one day sale, the price of the suit was decreased by 20%.
Therefore, the new price of the suit on Monday is
.
Now, the price of the suit on Tuesday was changed back to the original price i.e. x.
Therefore, the price is increase by (x - 0.8x) = 0.2x from the price of 0.8x.
So, the percentage change in price of the suit on Tuesday is
%. (Answer)
Answer:
∠ABC= 45°
Step-by-step explanation:
∠ABC= ∠BCD (alt. ∠s, AB//CD)
(2x +15)°= (3x)°
2x +15= 3x
3x-2x= 15 <em>(</em><em>-2x </em><em>on </em><em>both </em><em>sides)</em>
x= 15
Substituting the value of x:
∠ABC
= ∠BCD
= [3(15)]°
= 45°