solve the pair of linear equations 3x +y=-1 and -2x+3y=19. Hence find m if their point of intersection is y=mx +3.
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Answer:
(x,y)=(-2,-7) and m= -1
- Step-by-step explanation:
3x+y=-1......eqn 1
-2x+3y=19.....eqn 2
multiplying eqn 1 by 3 in order to eliminate y
9x+3y=-3.......eqn3
subtracting eqn 3 frm 2
-2x+3y=19
9x+3y=-3
(- ) - - +
-11x =22
x =22/-11
x = -2
substituting x= -2 in eqn1
we get y= 5
now,
y=mx+3
5=m(-2)=3
5= -2m+3
5-3= -2m
2= -2m
-2/2=m
-1=m
therefore m= -1
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