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The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point

Question

The graph of the linear equation 2x + 3y = 6 is a line which meets the x-axis at the point

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Solution

To find the point where the line meets the x-axis, we need to set y = 0 in the equation and solve for x.

The equation is 2x + 3y = 6.

If we set y = 0, the equation becomes 2x + 3(0) = 6, which simplifies to 2x = 6.

Dividing both sides by 2, we get x = 3.

So, the line meets the x-axis at the point (3, 0).

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