9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
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<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
Answer:
Kendrenks kennel has 80 more spots for dogs than spots for cats
Step-by-step explanation:
Hi
First of all we are going to define the unknowns of the problem, so
number of spots for cats and
number of spots for dogs. Then as the problem has two unknowns, we have to build two equations to solve it.
Using "if he has a total of 144 spots for both cats and dogs" we have one, so

Then "Kendrenks kennel has 2 spots for cats for every 7 spots for dogs", the other one
.
Replace (2) in (1) we get
, multiplying both sides by 7
, then this info in (2)
.
Finally as the question is "how many more spots does he have for dogs than cats?" , the answer is 
Answer:
no solutions
Step-by-step explanation:
12x+15=12x
Subtract 12x from each side
12x-12x+15=12x-12x
15 = 0
This is not a true statement so there are no solutions