Question

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Systems of Linear Equations Online Practice
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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 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 negative 1 comma 1 right parenthesis

(−1,−1)
left parenthesis negative 1 comma negative 1 right parenthesis

(1,−1)
left parenthesis 1 comma negative 1 right parenthesis

(1, 1)

Answer 1

The lines intersect at the point \((1, 1)\), which represents the solution to the system of linear equations given by:

1. \(y = 5x - 4\)
2. \(y = -2x + 3\)

Thus, the estimated solution to the system of these equations based on the graph is:

\((1, 1)\)