Eliminate the y’s via elimination (subtract both of the equations):
x^2 - x = 6
x^2 - x - 6 = 0
Factor the quadratic:
(x - 3)(x + 2) = 0
Set each equation equal to 0 and solve.
x - 3 = 0 , x + 2 = 0
x = 3 , x = -2
Plug in the 1st value for x into the second equation:
3 - y = -3
-y = -6
y = 6
Plug in the second value for x into the second equation:
-2 - y = -3
-y = -1
y = 1
Answer:
{(3,6)}
or
{(-2,1)}
Answer:
4 over sixteen, or 4/16 is your answer.
Step-by-step explanation:
There are 2 pizzas, each of which contain 8 pieces. So, in all, there were 8 pieces. Eric ate two pieces from each pizza. So, 2+2=4. Thus, he ate four out of the 16 pieces. That brings us to our answer, 4/16.
I hope this helps you, have a wonderful day!
Step-by-step explanation:
1.
Subtract the coefficient from both sides, keep 55 on the same side.
Complete the square by dividing the coefficient by two and squaring it.
Use binomial to factor the left side.
2. Solve for x.
Remeber the square root of 64 is also -8 so
So the solutions are -5 and 11
Answer:
$22.20
Step-by-step explanation:
We are told that $13.32 only covered 3/5 of the cost. Does this mean it covered the whole cost? No. The 5 in the denominator represents the whole cost, and the 3 represents the fraction of the cost. In this case, 13.32 represents the 3, as it did not cover the whole cost.
Let's set up our equation by making 13.32 into a fraction.
13.32/x
We will represent the present's actual cost with the letter x.
13.32/x = 3/5
We want to make sure the 13.32 is in the numerator, equal to the 3 in the numerator in the 3/5 number, because we know that $13.32 only covered for a <em>fraction </em>of the present's cost, not the whole cost.
We solve this by doing cross multiplication. Multiply the 13.32 by the 5.
13.32 x 5 = 66.6
Next we divide 66.6 by 3 to get 22.2
66.6/3 = 22.2
This gives us our final answer of $22.20. This means that the cost of the original present was $22.20
8 ppl in the car 8 times 6 is $24 plus $3 for parking is $27