Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences. graph
of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2.
2 answers:
Answer:
No, the point (2,0) is not the solution to the system of equations.
Step-by-step explanation:
Here, the given system of equations is,
y = 3x + 2, ------(1)
y = |x-1|+1, --------(2)
Since, the x-intercept of line (1) is (-0.667,0) and y-intercept is (0,2),
Also, the equation (2) is an absolute function that has the vertex (1,1)
And, its y-intercept is (0,2)
By the above explanation, we can graph the given system,
After graphing this we found that the intersection point of the given equations is (0,2),
Thus, the solution of the given system is (0,2).
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