slove the following simultaneous equation
a)x+3y=5,4x-5y =9
b)3x-7y+10=0 ,y-2x-3=0
c)20u-30v =13, 10v-10u= -5
Answers
Answer:
a)
x + 3y = 5 -------------(1)
4x - 5y = 9 . -------------(2)
multiplying (1) by 4,
=> 4x + 12y = 20 ------------(3)
Subtracting (2) from (3),
=> 4x + 12y - 4x + 5y = 20 - 9
=> 17y = 11
=> y =11/17
=> x = 5 - 3y
=> x = 52/17
b)
3x - 7y + 10 = 0 -------------(i)
-2x + y - 3 = 0 --------------(ii)
multiplying (ii) by 7
=> -14x + 7y -21 = 0 -----------(iii)
Adding (i) and (iii),
=> 3x - 7y + 10 + -14x + 7y -21 = 0
=> -11x - 11 = 0
=> x = -1
=> -2(-1) + y - 3 = 0
=> 2 - 3 + y =0
=> y = 1
c)
20u - 30v = 13 ----------(I)
-10u + 10v = -5 ---------(II)
multiplying (II) by 2
=> -20u + 20v = -10 -----------(III)
Adding (I) & (III),
=> 20u - 30v - 20u + 20v = 13 - 10
=> -10v = 3
=> v = -3/10
=> 10(-3/10) - 10u = -5
=> -3 - 10u =-5
=> 10u = 2
=> u = 1/5
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