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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 2 x plus y equals 15. The equation of the dotted line is y equals negative x plus 5. The intersection of both lines is shown at positive 10 on the x-axis and negative 5 on the y-axis in quadrant 4.

Find the coordinates of the intersection point that solves the system of these two linear equations in two variables:

2x + y = 15 and y = -x + 5

(10, -5)
(-5, 10)
(5, -10)
(-10, 5)

Answer 1

The coordinates of the intersection point that solves the system of these two linear equations in two variables are (5, -10).

Answer 2

are you sure

Answer 3

I apologize for the error. You are correct, the correct coordinates of the intersection point are (-5, 10).