Express the term of x in the equation 2x-3y=12 find the points where the line represented by the equation 2x-3y=12 cuts the X-axis and Y-axis
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Given:
- Express y in terms of x in the equation 2x – 3y = 12.
Find:
- Find the points where the line represented by this equation cuts x axis and y axis.
Calculations:
⇢ 2x - 3y = 12
⇢ 2x - 12 = 3y
⇢ y = 2/3x - 4
Adding y = 0 in the given equation, we get:
⇢ 2x - 3(0) = 12
⇢ 2x - 0 = 12
⇢ x = 6
Therefore, value of x in the equation is 6.
Adding x = 0 in the given equation, we get:
⇢ 2(0) - 3y = 12
⇢ 0 - 3y = 12
⇢ -3y = 12
⇢ y = -4
Therefore, value of y in the equation is -4.
Therefore, (6 , 0) and (0, -4) are the two points which cuts x-axis and y-axis.
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