Answer:
(2,2)
Step-by-step explanation:
Given equations are
x+3y=8 eq(1)
2x-y=2 eq(2)
we'll solve the system of equation by substitution.
Adding -3y to both sides of eq(1),we get
x+3y-3y=8-3y
x+0=8-3y
x=8-3y eq(3)
Put above value of x in eq(2),we get
2(8-3y)-y=2
16-6y-y=2
16-7y=2
Adding -16 to both sides of above equation,we get
-16+16-7y=-16+2
0-7y=-14
-7y=-14
Dividing by -7 to both sides of above equation,we get
-7y/-7=-14/-7
y=2
Putting y=2 in eq(3),we get
x=8-3(2)
x=8-6
x=2
hence, the solution for this system of equations is (2,2).
For the first movie he has 6 choices, then for the second since he has chosen the first there are only 5 left, then for the third there are only 4 choices left and so on.
Therefore the answer is 6!=6*5*4*3*2=720 orderings
Answer:
In linear expresiion 3 is the coefficient
X will be the variable and -15 will be the constant term.
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
The distance between point A and point B is 10 units.
Taking square on both sides, we get
Taking square root on both sides, we get
and 
and 
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
