A. 3n + 4
First Four Terms: 7, 10, 13, 16
Tenth Term: 34:
Plug in 10, 3 x 10 = 30 + 4 = 34
B. 4n - 5
First Four Terms: -1, 3, 7, 11
Tenth Term: 35
Plug in 10, 4 x 10 = 40 - 5 = 35
Answer:
x = -3
y = -1
Step-by-step explanation:
in the given question :-
=》x - 4y = 1
=》x = 4y + 1
now replacing the value of x as ( 4y + 1 ) in equation (2)
=》3x + 2y = -11
=》3 (4y + 1) + 2y = -11
=》12y + 3 + 2y = -11
=》14y = -11 - 3
=》y = -14 ÷ 14
=》y = -1
now, putting the value of y in equation (1)
=》x - 4y = 1
=》x - ( 4 × -1 ) = 1
=》x + 4 = 1
=》x = 1 - 4
=》x = -3
The given equations are:
5x - 2y = 88
3x + 4y = 58
Multiplying the 1st equation by 2, we get the new set of equations as:
10x - 4y = 176
3x + 4y = 58
Adding the two equations, we get:
10x - 4y + 3x + 4y = 176 + 58
13x =234
x = 18
Using the value of x in 1st equation, we get:
5(18) - 2y = 88
- 2y = 88 -5(18)
-2y = -2
y = 1
So, the solution of the equation is (18, 1)
They can be divided into
2 groups of 16
4 groups of 8
8 groups of 4
16 groups of 2