Find a point on 2x + 3y = 10 which is at a distance of 2 units to the right of the Y axis

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Solution

Let the required point be (2, a)[as the line is at a distance of 2 units to the right of Y axis]

Since it is on the line, it is a solution of the equation
$2 x + 3 y = 10$

Thus, $2 (2) + (3 \times a) = 10$

$3 a = 6$

$a = 2$

Hence, the required point is (2, 2)

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(b) Find a point on 2x + 3y = 10 which is at a distance of 2 units to the right of the Y axis. [3 MARKS]

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Find a point on 2x + 3y = 10 which is at a distance of 2 units to the right of the Y axis

Let the required point be (2, a)[as the line is at a distance of 2 units to the right of Y axis] Since it is on the line, it is a solution of the equation 2x+3y=10 Thus, 2(2)+(3×a)=10 3a=6 a=2 Hence, the required point is (2, 2)

Let the required point be (2, a)[as the line is at a distance of 2 units to the right of Y axis]

Since it is on the line, it is a solution of the equation
$2 x + 3 y = 10$

Thus, $2 (2) + (3 \times a) = 10$

$3 a = 6$

$a = 2$

Hence, the required point is (2, 2)