
The given system of equation has to be solved to check the either it has one, no or infinitely number of solutions:

Answer to Problem 37E
The given set of equations has infinitely solutions.
Explanation of Solution
Given:
Concept Used:
When the graph line of two equations intersects at a point then one can say that the system of eq. has one solution.
When the graph line of two equations is parallel then one can say that the system of eq. has no solution.
When the graph line of two equations is same then one can say that the system of eq. has infinitely much solution.
The slope intercept form is given as:
Where,
Slope:
Calculations:
The given eqns. are:
Need to write the given eq. in the slope intercept form:
And
From eq. (1) and (2):
Both eqns. are same or equivalent and they share the same graph. Every point on the line will satisfy both equations.
So there are infinitely solutions to given set of system.
The line graph is drawn as:
Conclusion:
Hence, the given set of equations has infinitely solutions.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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