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)
(
,
)
1 answer
The solution to the system of equations \(y = -x + 6\) and \(y = 3x - 2\) is the point where the two lines intersect. According to the information you've provided, the lines intersect at the point \((2, 4)\).
Therefore, the estimated solution to the system of equations is:
\[ (2, 4) \]
