Question

Two lines, C and D, are represented by the following equations:

Line C: y = x + 5
Line D: y = –2x – 1

Which of the following options shows the solution to the system of equations and explains why? (4 points

Answer 1

The solution of two lines is when they have the same x and y values, graphically the same point in the coordinate system. If they are equal y=y so we can say:

x+5=-2x-1

3x+5=-1

3x=-6

x=-3, making y=x+5 become: y=-3+5=2 so the solution is the point;

(-3, 2)