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Sphinxa [80]
3 years ago
6

-3x -3y = 3 y = -5x - 17

Mathematics
2 answers:
tester [92]3 years ago
6 0

Answer:

x=-4 and y=3

Step-by-step explanation:

-3x-3(-5x-17)=3

-3x+15x+51=3

12x=-48

x=-4

y=-5x-17

y=20-17

y=3

Bas_tet [7]3 years ago
6 0
X= -4 y= 3 there you go hopes this helps
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This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
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   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
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Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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