Solve the following system of equations using the elimination method. 2x + 4y = 10 –2x + y = –15
2 answers:
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So first, you get the absolute value to one side:
Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
Your answers are 8 and -8, or +-8.
Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
Your answers are 8 and -8, or +-8.
The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3
Written as a function, it is
.. f(x) = (2/3)x +3
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3
Written as a function, it is
.. f(x) = (2/3)x +3
Step-by-step explanation:
Given
The function is
for , we will check the values of
and
Take 3 and 4
Similarly,
Thus,
Also, is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.