Ok so to start you plug in what’s in the parentheses for x
4c=8-5(4c)
2-k=8-5(2-k)
4p+3=8-5(4p+3)
In the first one you distribute the -5
4c=8-20c
Then add 20c to both sides
24c=8
And divide by 24
C=8/24 or 1/3
Distributing the -5 on the second one gets you
2-k=8-10+5k
Then you combine like terms
2-k=-2+5k
Subtract 5k from both sides
2-6k=-2
Subtract 2 from both sides
-6k=-4
Divide by -6
K=4/6 or 2/3
and lastly the equation is 4p+3=8-5(4p+3)
So you distribute -5
4p+3=8-20p-15
Combine like terms
4p+3=-20p-7
Add 20p to both sides
24p+3=-7
Subtract 3 from both sides
24p=-10
And then divide by 24
P= -10/24 or -5/12
Answer:
D. Their intersection point is the only point where the same input into both functions yields the same output.
Step-by-step explanation:
The intersection point of 2 graphed lines represents the solution.
At this point, for both lines, there is the same x value (input) and the same y value (output) because both of the lines have that point in common.
So, if those 2 lines were to be graphed, the intersection point would represent the only point with the same input and output for both functions.
D is the correct answer.
3B + 4T = 11.33
9B + 5T = 23.56
Solve by elimination:
Multiply the first equation by -3 to get -9B where the 3B is
so that it will cancel with the 9B when the equations are added.
-9B - 12T = -33.99
9B + 5T = 23.56
------------------
-7T = -10.43
T = $1.49
Substitute in
3B + 4T = 11.33
3B + 4(1.49) = 11.33
3B + 5.96 = 11.33
3B = 5.37
B = $1.79
A taco costs $1.49 and a burrito costs $1.79.
Therefore 5 burritos and 7 tacos will cost
5B + 7T = 5($1.79) + 7($1.49) = $19.38
