Question

Draw the graph of 4x + 2y = 12 and 2x – y + 2 = 0. Shade the region bounded by these lines and the x-axis. Find the area of the shaded region.​

Answer 1

Step-by-step explanation:

We have, 2x + y = 6 ⇒ ⇒ y = 6 - 2x When x = 0, we have y = 6 - 2 x 0 = 6 When x = 3, we have y = 6 - 2 x 3 = 0 When x = 2, we have y = 6 - 2 x 2 = 2 Thus, we get the following table: x 0 3 2 y 6 0 2 Now, we plot the points A(0,6), B(3,0) and C(2,2) on the graph paper. We join A, B and C and extend it on both sides to obtain the graph of the equation 2x + y = 6. We have, 2x - y + 2 = 0 ⇒ ⇒ y = 2x + 2 When x = 0, we have y = 2 x 0 + 2 = 2 When x = -1, we have y = 2 x (-1) + 2 = 0 When x = 1, we have y = 2 x 1 + 2 = 4Read more on Sarthaks.com - https://www.sarthaks.com/28097/draw-graph-and-shade-the-region-bounded-these-lines-and-axis-find-the-area-the-shaded-region?show=997752#a997752

Answer 2

Answer:

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Step-by-step explanation:

We have, 2x + y = 6 ⇒ ⇒ y = 6 - 2x When x = 0, we have y = 6 - 2 x 0 = 6 When x = 3, we have y = 6 - 2 x 3 = 0 When x = 2, we have y = 6 - 2 x 2 = 2 Thus, we get the following table: x 0 3 2 y 6 0 2Read more on Sarthaks.com - https://www.sarthaks.com/28097/draw-graph-and-shade-the-region-bounded-these-lines-and-axis-find-the-area-the-shaded-region