Question 1174149
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The three boundary lines are the y-axis, y = (-2/7)x+7, and y = (7/2)x.<br>
The area of a triangle is one-half base times height.<br>
Use the side of the triangle on the y-axis (length 7) as the base; then the height is the x value where the other two boundary lines intersect.  So<br>
(1) solve {{{(7/2)x = (-2/7)x+7}}} for x
(2) the area of the triangle is (1/2) times (7) times the value of x from step (1)<br>
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to the student....<br>
The solution to {{{(7/2)x = (-2/7)x+7}}} is not x=1....<br>