How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero
1 answer:
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Answer:
(0, -1)
Step-by-step explanation:
There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"
First, since both equations are equal to Y, we can set them equal to each other and solve for X
To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.
Since we still have a fraction, we shall do it one more time. This time we multiply by 3
Now, solve how you normally would.
9x = 6x
-6x
3x = 0
X = 0
Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!
Now solve which would lead to y = -1
You have your solution as
(X,Y)
(0,-1)
Hope this helps!
First, multiply by 3 on both sides:
Divide by 7:
So, k = 9
Divide by 7:
So, k = 9