Answer:
Step-by-step explanation:
in order to solve this system of equation we would say that let
3x+2y=-8........................................................ equation 1
1 x - y = -1 ........................................................ equation 2
from equation 2
1 x - y = -1 ........................................................ equation 2
x = -1 + y....................................... equation 3
substitute for equation 3 in equation 1
3x+2y=-8........................................................ equation 1
3( -1 + y) + 2y = 8
-3 + 3y +2y = 8
collect the like terms
-3 + 5y = 8
5y = 8 + 3
5y = 11
divide both sides by the coefficient of y
5y/5 = 11/5
y = 2.2
put the value y = 2.2 into equation 3
x = -1 + y....................................... equation 3
x = -1 + 2.2
x = 1.2
therefore th value of x is 1.2 and y is 2.2
The ordered pair (-6,-9) will be located in quadrant IV.
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
Answer:
B
Step-by-step explanation:
When x=1, we will use the second equation
-(1)+1 = 0
Are you solving for x or y?
