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aa1604962
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Find the intersection.
x = -5 + 8t, y = 1 + 10t, z = 9 + 8t ; -2x + 8y + 8z = 10
x = -5 + 8t, y = 1 + 10t, z = 9 + 8t ; -2x + 8y + 8z = 10
aa1604962 said:Find the intersection.
x = -5 + 8t, y = 1 + 10t, z = 9 + 8t ; -2x + 8y + 8z = 10
The intersection point for the given equations is (-5, 1, 9).
To find the intersection point for two or more equations, you need to solve the equations simultaneously. This can be done by substituting one variable into the other equations until you have a single variable equation, which can then be solved to find the value of that variable. Repeat this process for each variable until you have values for all variables, which will give you the intersection point.
Yes, there can be more than one intersection point for two or more equations. This can happen when the equations are not independent and represent the same line or plane in space.
The value of t represents the parameter or variable used to represent the position of a point on the line or plane defined by the equations. It can be thought of as the time or distance traveled along the line or plane.
Yes, the given equations can also be solved using elimination or graphing methods. Elimination involves manipulating the equations to eliminate one variable at a time, while graphing involves plotting the equations on a graph and finding the point of intersection visually.