The equation will look like this …9(x + 2)=8
Answer:
Hong = 25
Pablo = 100
Lashonda = 18
Step-by-step explanation:
Let Hong's order be x , since Pablo served 4 times as many as Hong , then Pablo's order is 4x , also , since Lashonda served 7 fewer than Hong , it means Lashonda's order is x - 7 . combining all
Hong's orders = x
Pablo's order = 4x
Lashonda's order = x - 7
Total order = 143
Then
x + 4x + x - 7 = 143
6x - 7 = 143
6x = 143 + 7
6x = 150
x = 25
Therefore :
Hong served 25 orders
Pablo served 24x 4 orders = 100 orders
Lashonda served 25 - 7 orders = 18 orders
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)
Answer: 
is the logarithmic equation which is equivalent to
.
Step-by-step explanation:
According to the laws of logarithms
,where b=base ,n,x all are positive
It can be written in exponential form such as
Now in the given question x=9 ,b=3 and n=2 such that it will equals to
Hence the logarithmic equation for is.
