Solve the system by substitution. x – 3y = 4 2x – 6y = 8
2 answers:
Answer: The given system of equations will have infinite number of solution.
Step-by-step explanation: We are given to solve the following system of equations by substitution method :
From equation (i), we have
Substituting the value of x from equation (iii) in equation (ii), we get
which is always true.
So, the given system of equations will have infinite number of solutions.
Let y = k, a real number. Then, from equation (iii), we get
Thus, all the solutions of the given system are given by
(x, y) = (4+3k, k).
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Answer:
The coordinates of your position are ,
and
or in coordinates notation the point given by
Step-by-step explanation:
Since you are starting from the origin of a coordinate system, the coordinates of you position are simply going to be how many units you have moved in each direction.
- 7 units in the positive x-axis direction gives you
- Then, being in the x-axis, you move 2 units downward parallel to the z-axis. Here the downward gives you a negative sign for the z coordinate, hence,
.
- Now,
is given due to the fact that there is no movement in the y-axis direction or you can also say that all the movement have been perpendicular to the y-axis and therefore, your position in this axis is zero.