To calculate:whether the given equations are consistent or inconsistent by comparing there slope and y -intercept.
Answer to Problem 31WE
The system of equation is consistent.
Explanation of Solution
Given information:The equations are
Formula used:
Slope-intercept form of line is:
Calculation:
Equation
Equation
Since the slope and the y -intercept of equation (1) & (2) are different, the lines are not parallel therefore the lines will intersect each other at some point and there will be a unique solutions of the system and hence system of equation is consistent.
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Algebra and Trigonometry: Structure and Method, Book 2
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