Answer :
Answer:
y=-2x+3
Explanation:
To determine the equation, first, rewrite the lines in the slope-intercept form:
[tex]\begin{gathered} y=-1.5x+6 \\ y=-1.5x \\ 2y=-3x+6\implies y=-1.5x+3 \\ 2y+3x=6\implies y=-1.5x+3 \\ y=-2x+3 \end{gathered}[/tex]• On observation, the coefficient of x in all but the last equations is -1.5.
,• The coefficient of x in the given line = -1.5
This indicates that the lines are parallel to the given line:
[tex]y=-1.5x+3[/tex]Therefore, the equation that will together give just one solution is:
[tex]y=-2x+3[/tex]