To calculate:
Solution of the linear equations using given graph.
Answer to Problem 1Q
Solution of the system of equation is
Explanation of Solution
Given information:
Calculation:
Given graph is,
Given equations are,
Given equations are in slope intercept form,
Clearly slope of first line is
And slope of the second line is
Slopes are negative reciprocals of each other.
Thus, both lines are perpendicular so intersect each other.
To find the point of intersection, both lines on similar
So from the above graph ,both lines are intersect at
Thus required solution is
Check the solution by substituting the coordinates of the point in each original equation.
For checking the solution:
Put,
For checking solutions,
Put
Both equations are satisfied
Hence the solution of the system of equation is
Chapter 5 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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