Answer:
There are infinite ordered pairs are on the line because it has infinite solutions.
Step-by-step explanation:
5x - 2y = 6
-5x -5x
-2y = -5x + 6
-2y/2 = -5x/-2 + 6/-2
y = 5/2x - 3
5x - 2(5/2x - 3) = 6
5x - 5x + 6 = 6
6 = 6
infinte solutions
Answer:
I believe the answer is 0.571428571428571
Step-by-step explanation:
Answer:
Step-by-step explanation:
The specifications of a decagonal pyramid would be the following
It has one face that is a decagon.
35 diagonals in the base.
10 isosceles triangles as faces above the base
11 vertices - 10 in the base and 1 at the top
20 edges - 10 in the base and 10 above the base
This can all be seen in the picture of the decagonal pyramid below. The only decagonal face is on the base of the pyramid as the top is a vertice where all of the triangles meet.
Answer:
x= 2.14 y= -2.71
Step-by-step explanation:
8x + 3y = 9
--------------------equ i
3x - 5y = 20--------------------equ ii
using substitution method
making x the dsubject of formula in 8x + 3y = 9
8x= 9-3y
x=(9-3y)/8-----------------------equ iii
insert it in equ ii
3x - 5y = 20
3{(9-3y)/8} - 5y = 20
open the bracket and add 5y to both sides
27-9y/8= 20+5y
cross multiply
27-9y = 8(20+5y)
27-9y = 160+40y
choose like terms
-9y-40y=160-27= 133
-49y=133
y=133/-49= -2.71
insert the value of y back in x=(9-3y)/8
x=(9-3y)/8= 9-3(-2.71)/8= 9+8.14/8= 17.14/8= 2.14
x= 2.14
or
using elimination system
multiply the coefficient of y (3) in equ i by equation ii
multiply the coefficient of y (5) in equ ii by equation i
5 x 8x + 3y = 9
3 x 3x - 5y = 20
40x+15y=45
9x-15y=60
add each other(since they have different signs + and -)
40x+15y=45
+
9x-15y=60
40x+9x +15y+(-15y) = 45+60
49x = 105
x= 105/49 = 2.14
since x = 2.14 insert it in either equ i or ii
8x + 3y = 9
8(2.14)+3y=9
17.14+3y= 9
17.14-9 = -3y
8.14= -3y
y= 8.14/-3= -2.71
3x - 5y = 20
3(2.14)-5y=20
6.428-5y= 20
6.428-20 = 5y
-13.5714= 5y
y = -13.5714/5 = -2.71