ANSWER
(6,-5)
EXPLANATION
The given system has equations:
2x + y =7...(1)
x- 2y = 16...(2)
We multiply equation (1) by 2 to get,
4x+2y=14...(3)
We add equations (2) and (3) to obtain,
4x+x+2y-2y=14+16
This implies that,
5x= 30
Divide both sides by 5,
x=6
We substitute x=6 into equation (1) to get,
2(6) +y=7
12+y=7
y=7-12
y=-5
The solution is (6,-5)
Answer:
c, d, a, b.
Step-by-step explanation:
I'm presuming that the original equation is .
First, isolate c. You can do this by subtracting from both sides:
Next, simplify to .
Then, divide both sides by 7:
Finally, simplify to .
Answer:
+9
Step-by-step explanation:
The coefficient of the x term is -6.
To "complete the square," take half of this coefficient, obtaining -3.
Square this, obtaining +9. This is to be added to both sides of the equation x^2- 6x = 5, yielding:
x^2- 6x + 9 = 5 + 9
The first three terms on the left are now the square of (x - 3).
Answer:
5.83 units
Step-by-step explanation:
We write the coordinate points of Maple Station (-3,5) and Town Center (0,0). We label the points left to right as and substitute the values.
5.83 units
Answer:
6241 is one answer , but see below.
Step-by-step explanation:
If the number is vwxy we have:
v = 3w
x + y = v - 1
w = x - 2
From equations 1 and 2:
v = 3(x - 2).
The only possible values of v are 3, 6 or 9.
If v = 3:- 3 = 3(3 - 2) so x = 3 also.
If v = 6:- 6 = 3(4 - 2) so x = 4.
If v = 9:- 9 = 3(5 - 2) so x = 5.
Now consider the first equation x + y = v - 1:-
If v = 3 then 3 + y = 3 - 1 giving y = -1 so v = 3 is not possible.
If v = 6 then 4 + y = 6 - 1 giving y = 1 which is a possible value.
If v = 9 then 5 + y = 9 - 1 giving y = 3 which is also possible.
If x = 4 w = 4 - 2 = 2
If x = 5 w = 5-2 = 3.
Thus the possible values are 6241 or 9353.
If all digits must be different the answer is 6241.