Answer:
Given the below equations;
[tex]\begin{gathered} 5x+y=-3 \\ 10x+2y=-6 \end{gathered}[/tex]
We know that the slope-intercept form of the equation of a line is given as;
[tex]y=mx+b[/tex]
where m = slope of the line
b = y-intercept of the line
To be able to graph each system of equations given, we have to represent them in the slope-intercept form, so we can tell their slopes and y-intercepts.
For the 1st equation;
[tex]y=-5x-3[/tex]
where the slope(m) = -5 and the y-intercept(b) = -3. See below the graph of the line;
For the 2nd equation;
[tex]\begin{gathered} 2y=-10x-6 \\ y=-\frac{10x}{2}-\frac{6}{2} \\ y=-5x-3 \end{gathered}[/tex]
where the slope(m) = -5 and the y-intercept(b) = -3
See below the graph of the line;
Since both equations have the same slope and y-intercept, it means that they are the same line as seen above and it will have an infinite number of solutions.
