The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of 
and 
. The x-terms cancel each other out giving us 
and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)
The table shows how the number of pepperoni
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Given:
The volume of water in a tank is modeled by the function
where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,
Substituting x=0, we get
Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.