The lines defined by the equations \(y = -x + 6\) and \(y = 3x - 2\) intersect at the point \((2, 4)\). Therefore, the solution to the system of equations is:
\[ \boxed{(2, 4)} \]
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 10 to 10 in increments of 1. A solid line and a dotted line with arrows at both the ends intersect each other. The equation of the solid line is y equals 3 x minus 2. The equation of the dotted line is y equals negative x plus 6. The lines intersect at left parenthesis 2 comma 4 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.
y=−x+6
y=3x−2
(1 point)
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,
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1 answer