The linear equation 3x-7y-12=0 and 14y-5x=15 has: *
please answer real quick
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Answer:
x=39
y=15
Step-by-step explanation:
3x-7y-12=0
or, 3x-7y=12-------eq(1)
14y-5x=15
or, -5x+14y=15-------eq(2)
adding both the eqs
3x-7y=12
+5x-14y=-15 (after we have changed the signs of
---------------- eq (2)
8x - 21y= -3(result of addition)
then, finding x
8x - 21y = -3
or, 8x=-3 +21y
or, x= (-3+21y)/8
putting the value of x in eq 1
3x-7y=12
or, 3{(-3+21y) /8}-7y=12
or,( -9+63y-56y) /8=12
or, (-9+7y) =12×8
or, 7y=96+9
or, y=105/7
y=15
putting the value of y in
x= (-3+21y)/8
or, x=(-3+21×15) /8
or, x=(-3+315) /8
or, x=312/8
x=39.
#you can also put the value of y in eq(2) to find out the value of x... either way same value will be the result .
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