Answer:
x = 2/3 or point (x, y) = (2/3, 0)
Explanation:
You want to know the x-intercept of the line described by 12x +11y = 8.
X-intercept
The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:
12x +11(0) = 8 . . . . use 0 for y
12x = 8 . . . . . . . . . simplify
x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify
The x-intercept is x = 2/3, point (2/3, 0).
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Additional comment
The y-intercept is similarly found.
0 +11y = 8
y = 8/11 . . . . y-intercept