Answer:
See explanations below
Step-by-step explanation:
Given the simultaneous equations;
2x - 3y = 9... 1
2x + y = 13 ... 2
From 2;
y = 13-2x
Substitute into 1;
2x - 3(13-2x) = 9
2x -39 + 6x = 9
8x - 39 = 9
8x = 9+39
8x = 48
x = 6
Since y = 13-2x
y = 13-2(6)
y = 13-12
y = 1
The soluton to the system of equation is (6, 1)
Given the equations;
99x + 101y = 499; .... 1 * 101
101x + 99 y = 501 ... 2 * 99
______________
9999x + 10,201y = 50,399
9999x + 9801y = 49,599
Subtract
10201y - 9801y = 50399-49599
400y = 800
y = 2
Substitute y = 2 into 1;
From 1;
99x + 101y = 499
99x + 101(2) =499
99x +202 = 499
99x = 499 - 202
99x = 198
x = 198/99
x =2
Hence the solution is (2,2)
For the equations;
49x - 57y = 172 .... * 57
57x - 49y = 252 __ * 49
____________________
2793x -3249y = 9804
2793x - 2401y = 12348
Subtract
-3249y+2401y = 9804-12348
-848y = -2544
y = 3
Substitute into 1;
49x - 57y = 172
49x - 57(3) = 172
49x - 171 = 172
49x = 171+172
49x = 343
x = 7
Hence the solution is (7, 3)
Wheres the data? we cant answer without the data.
Answer:
x=5,y=1 and z=-2
Step-by-step explanation:
We are given that system of equation
(I equation)
(II equation )
(III equation )
Equation II multiply by 3 then add with equation I
Then, we get
....(Equation IV)
Subtract equation II from equation III then we get
(equation V)
Adding equation IV and equation V then, we get
Substitute x=5 in equation V then, we get
Substitute x=5 and y=1 in equation then, we get
Hence, the solution for the given system of equation is given by
x=5,y=1 and z=-2
Answer:
d. 540 deg
Step-by-step explanation:
2 pi radians = 360 deg
(360 deg)/(2pi rad) = 1
3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg
21 out of 28 cookies are chocolate chip
