Find the coordinates of the point at which the line represented by the equation 2x+3y = 8 intersects the x-axis.

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Solution

The line intersects the x axis when the value of y coordinate is 0.
Thus, on the x axis, y = 0.
Substituting this value in the given equation:
$2 x + 3 \times 0 = 8$
$\Rightarrow 2 x = 8$
$\Rightarrow x = 4$
Thus, the line intersects the x axis at point (4, 0).

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Find the coordinates of the point at which the line represented by the equation 2x+3y = 8 intersects the x-axis.

The line intersects the x axis when the value of y coordinate is 0. Thus, on the x axis, y = 0. Substituting this value in the given equation: 2x+3×0=8 ⇒2x=8 ⇒x=4 Thus, the line intersects the x axis at point (4, 0).

The line intersects the x axis when the value of y coordinate is 0.
Thus, on the x axis, y = 0.
Substituting this value in the given equation:
$2 x + 3 \times 0 = 8$
$\Rightarrow 2 x = 8$
$\Rightarrow x = 4$
Thus, the line intersects the x axis at point (4, 0).