Answer:
(-1/2, 3/4)
Step-by-step explanation:
Let's use the elimination by adding or subtracting method. Note that we have 8y in the first equation, and that we could obtain -8y in the second equation by multiplying the second equation by 2:
2(24x - 4y = -15) => 48x - 8y = -30
Now combine this result (this equation) with the first equation:
2x + 8y = 5
+48x -8y = -30
---------------------
50x = - 25
Dividing both sides by 50, to isolate x, we get
x = -25/50 = -1/2.
Now substitute -1/2 for x in the first equation and solve the resulting equation for y:
2x + 8y = 5
2(-1/2) + 8y = 5, or -1 + 8y = 5, or 8y = 6 (after having added 1 to both sides)
Dividing both sides of 8y = 6 by 8 leads to determining the value of y:
y = 6/8 = 3/4
The solution is (-1/2, 3/4).
Answer: Olga's solution is incorrect
x + 7x is the same as 1x + 7x
7x2 is the same as 7x. x
x + 7 x simplifies to 8x
Step-by-step explanation:
To solve for the slope given two lines, use the formula:
(y₂ - y₁)
----------
(x₂ - x₁)
Set one of the points as (x₁, y₁), and the other as (x₂, y₂).
(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)
plug into corresponding places:
</span>(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)
180/100 is your slope
If you want simplified, it will be: 9/5
hope this helps
Answer: 
Step-by-step explanation:
x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars