The coordinates of the intersection point that solves the system of the two linear equations \(2x + y = 15\) and \(y = -x + 5\) is \((10, -5)\).
So the correct response is:
(10, −5)
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
(5,−10)
left parenthesis 5 comma negative 10 right parenthesis
(−10, 5)
left parenthesis negative 10 comma 5 right parenthesis
(−5, 10)
left parenthesis negative 5 comma 10 right parenthesis
(10,−5)
left parenthesis 10 comma negative 5 right parenthesis
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1 answer
1 answer