Answer: One solution
Step-by-step explanation:
The two lines only intersect at one point, (-9,-23)
1.4 repeating?
3x+3=5x-10+7x
3x+3=12x-10
3=9x-10
13=9x
1.4 repeating=x
<u>We are given:</u>
aᵇ = bᵃ
b = 2a
<u>Finding (a+b):</u>
<u>Finding a:</u>
replacing b by 2a in the first equation, we get:
(a²)ᵃ = (2a)ᵃ
(a²)ᵃ = 2ᵃ * aᵃ
a²ᵃ / aᵃ = 2ᵃ [dividing both sides by aᵃ]
aᵃ = 2ᵃ [because xᵃ / xᵇ = xᵃ⁻ᵇ]
a = 2 [raising both sides to 1/a]
<u>Finding b:</u>
We are given that b = 2a
now that we know what a equals, we will plug that value here
b = 2(2)
b = 4
<u>Finding a+b:</u>
We found that a = 2, b = 4
a + b = 2 + 4 = 6
It’s 2:1
24 is half of 48