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Question

A coordinate plane with four quadrants shows the x-axis ranging from negative 5 to 15 in increments of 1, and the y-axis ranging from negative 10 to 10 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x minus 6. The equation of the dotted line is y equals negative x plus 4. The intersection point of both lines is shown at positive 5 on the x-axis and negative 1 on the y-axis in quadrant 4.

Review the graphs of a system of two linear equations in two variables: y=x−6 and y=−x+4 . Find the solution to both equations.

(1 point)

Answer 1

The solution to both equations is the point of intersection of the two lines. In this case, the point of intersection is at (5, -1). Therefore, the solution to both equations is x = 5 and y = -1.