What is the solution of the following system of equation: 2X+Y=17 AND Y=X+14 ?
1 answer:
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Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.
We need to determine the coordinates of the resulting point B'.
<u>Coordinates of the point B':</u>
The general rule to rotate the point 90° counterclockwise around the origin is given by
The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.
Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.
Thus, we have;
Coordinates of B' =
Thus, the coordinates of the resulting point B' is (-1,1)
Answer:
x+y=0 and 3x-2y=10
Step-by-step explanation
Let the numbers be x and y.
The sum of the two numbers is 0
Letting the smaller number be y and the
larger number be x:
twice the smaller number
Also, 3 times the larger number
Now ,twice the smaller number subtracted from 3 times the larger number is 10.
Therefore the equations are
and