An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 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 5 x minus 4. The equation of the dotted line is y equals negative 2 x plus 3. The lines intersect at left parenthesis 1 comma 1 right parenthesis which is not plotted as a point.
Estimate the solution to the system of these linear equations based on the graph.
y=−2x+3
y=5x−4
(1 point)
Responses
(1,−1)
left parenthesis 1 comma negative 1 right parenthesis
(−1, 1)
left parenthesis negative 1 comma 1 right parenthesis
(−1,−1)
left parenthesis negative 1 comma negative 1 right parenthesis
(1, 1)
left parenthesis 1 comma 1 right parenthesis
Remaining Attempts : 3
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1 answer
The solution to the system of the equations \( y = -2x + 3 \) and \( y = 5x - 4 \) occurs at the point where the two lines intersect. Based on your description, the lines intersect at the point \( (1, 1) \).
Therefore, the estimated solution to the system of these linear equations is:
(1, 1)
