Question

which equation, together with y equals -1.5 x + 3, makes a system with just one solution.y=-1.5 x + 6y = -1.5 x2y = -3x + 62y + 3x = 6y= -2x + 3

Answer 1

y=-2x+3

Step-by-step explanation:

To determine the equation, first, rewrite the lines in the slope-intercept form:

`\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}`

• 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:

`y=-1.5x+3`

Therefore, the equation that will together give just one solution is:

`y=-2x+3`