Question

Use the image to answer the question.

A Cartesian coordinate plane graph displays two linear equations. One is 2 times x plus y equals 15, and the other is y equals negative x plus 5.

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)

(5,−10)


(10,−5)


(−10, 5)


(−5, 10)

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Answer 1

Substitute y = −x + 5 into 2x + y = 15:
2x + (−x + 5) = 15 → x + 5 = 15 → x = 10.
Then y = −10 + 5 = −5.

Intersection: (10, −5).