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Solve the following system of equations graphically: y=3x+4 and y=-2x-5

1 Answer

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Answer:

(x, y) = (-1.8, -1.4)

Explanation:

Modern graphing calculators make it trivially simple to solve many problems by graphing. It has become my favorite method.

The graph shows the solution to be (x, y) = (-1.8, -1.4).

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If you're graphing by hand, it is usually convenient to start with the y-intercepts, then draw the lines with the required slopes. These equations are written in slope-intercept form, making that approach relatively simple.

The first equation has a y-intercept of (0, 4) and a slope of 3. So, another point on the graph will be left 1 and down 3 (as opposed to right 1 and up 3). That point is (-1, 1).

The second equation has a y-intercept of (0, -5) and a slope of -2. So, another point on the graph of that will be left 1 and up 2, to (-1, -3)

Solve the following system of equations graphically: y=3x+4 and y=-2x-5-example-1
User Tom Irving
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