Problem

Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. \[ \begin{array}{l} x+2 y=1 \\ 3 x+y=-7 \end{array} \] Use the graphing tool to graph the system. Click to

Solution

Step 1 :First, we rewrite the equations in slope-intercept form (y = mx + b). The first equation becomes \(y = -0.5x + 0.5\), and the second equation becomes \(y = -3x + 7\).

Step 2 :We then graph these two lines. The first line has a slope of -0.5 and a y-intercept of 0.5. The second line has a slope of -3 and a y-intercept of 7.

Step 3 :The solution to the system of equations is the point where the two lines intersect. By observing the graph, we can see that the two lines intersect at the point (-2, 1.5).

Step 4 :Thus, the solution to the system of equations is \(\boxed{(-2, 1.5)}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8aqUxYh9u1/

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