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Sagot :
Given:
The system of equations is
[tex]y=1.5x-3[/tex]
[tex]y=1.5x+4[/tex]
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=1.5x-3[/tex]
[tex]y=1.5x+4[/tex]
On comparing these two lines with slope intercept form, we get
[tex]m_1=1.5,b_1=-3[/tex]
[tex]m_2=1.5,b_2=4[/tex]
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
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