To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
It will take the factory 45 hours to make 30 lawnmowers.
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
Answer:
50
Step-by-step explanation:
- 8i = √-64
8i + 6
- -4i = -√-16
-4i + 3
[8i + 6][-4i + 3] → FOIL
>> -32i² + [24i - 24i] + 18
↑ ↑
-1 0
>>> 32 + 18 = 50
Information on Imaginary Numbers
√-1 = i
-1 = i²
-i = i³
1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]
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$180 is the cost of the goal, and $15 is the cost of each soccer ball.