The equation of a straight line is 3x + 2y = 24. Find where the line crosses the x-axis.

Let's first think about what it means when the line crosses the x-axis. If we consider a normal x-y coordinate plane, every point on the x-axis has a y value of 0. So if we are trying to find out where the line crosses the x-axis, we want to find out the point on the line where y = 0. As we now know that the y-coordinate of this point is 0, we can use this information to substitute it into the equation of our line! We now have:3x + 2(0) = 24. Is there any way we can simplify this? We know that 2 * 0 is 0 so our equation now becomes 3x = 24. Now we only have one unknown so we can find the value of x by rearranging. In order to rearrange, we want x by itself. We therefore divide both sides by 3 which gives us x = 8. So our point is (8,0).

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Answered by Angela D. Maths tutor

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