Solving Systems of Equations by Graphing Quick Check

Question

1 of 51 of 5 Items
Question
Use the image to answer the 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 .

(1 point)
Responses

A.(5,−10)
left parenthesis 5 comma negative 10 right parenthesis

B. (−5, 10)
left parenthesis negative 5 comma 10 right parenthesis

C. (10,−5)
left parenthesis 10 comma negative 5 right parenthesis

D. (−10, 5)

Answer 1

C. (10,−5)
left parenthesis 10 comma negative 5 right parenthesis