Find the point of intersection of these straight lines: 1) Y=3x+4 and Y=-2x+9  2) Y=-4x-7 and -Y=5x+10  

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(1) We are asked to find the point of intersection of the lines y=3x+4 and y=-2x+9.

There are several methods to find this point, assuming it exists. Given the equations of two lines, the graphs of the lines could be parallel (thus no intersection point), intersecting (resulting in a single intersection point), or the same.

Solving for the intersection of lines is an example of solving a system of linear equations. If the lines are parallel, the system is said to be inconsistent. If the system is consistent then either the equations describe the same line (a dependent set)...

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