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Ivahew [28]
3 years ago
8

What do the following two equations represent? -4x-4y = -5 12x+12y = 112x

Mathematics
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

These two lines are parallel and system of these equations have no solution

Step-by-step explanation:

Parallel Lines: Lines having same slope and different x and y intercept are parallel lines. System of such equations does not have any solution as these lines does not intersect at any finite points.

Standard form of line is y=mx+c where m is slope and c is y-intercept.

First Line:

-4x-4y=-5\\\\-4y=-5+4x\\\\Divide\ both\ sides\ by\ -4\\\\y=-x+\frac{5}{4}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{5}{4}

Second Line:

12x+12y=112\\\\12y=112+-12x\\\\Divide\ both\ sides\ by\ 12\\\\y=-x+\frac{12}{112}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{12}{112}

Hence these two lines are parallel and system of these equations have no solution

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