First the common denominator has to be 6. So to get to 6 you multiply the 2 by 3 and the numerator by 3 giving 3 over 6 then you multiply 3 times 2 to get to 6 so the following fraction is 2 over 6. So when u add the two together it gives you 5 6ths
While it says not to state it, I will state which one is which, just for clarification.
Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they are given an additional $5. They receive no raises in their pay.
This is linear because the pay is constant, and they aren't receiving any additional money. The equation for this would be y = 10x+5, x is the amount of hours they work.
Non-Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they get are given an additional $5. For every 30 minutes they work after hour 4, they receive a $1 raise.
This is non-linear because the pay, after a certain amount of time, would go up, and the graph would soon start going higher after hour 4.
An ordered pair for the linear would be: (5, 55)
After working 5 hours, they would have $55.
An ordered pair for the non-linear would be (5, 56)
After working for 5 hours, they would have $56.
24:36
9:12
12:16
Because yes
8y = 4x -16
-x = -2y -4
Multiply all terms in the second equation by -1:
-x = -2y -4 x -1 = x = 2y +4
Now replace x in the first equation with this.
8y = 4(2y+4)
Simplify:
8y = 8y +16
Because there is an 8y on both sides of the equation, it cannot be solved.
The answer is no solution.
