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2x - 3y = -1 Eq.1y = -4x + 24 Eq.2Put the value of Eq.2 on Eq.22x - 3(-4x + 24 ) = -12x + 12x -72 = -114x -72 = -114x = 72-114x = 71x= 71/14 .............. X = 5.07
3x + 6y = 48 .... Eq.1-5x + 6y = 32 .... Eq.2 .... in another way 6y = 5x + 32Put the value of Eq.2 in Eq. 13x + 5x + 32 = 488x = 48 - 328x = 16x = 16/8 ...... X = 2To find the value of Y put the value of X in Eq.26y = 5x + 326y = 5(2) + 326y = 10 + 326y = 42y = 42/6 ...... Y + 7
eq. 1 is x-2y=0 which means x=2y eq. 2 is 4x-3y=15 subst. x=2y in eq. 2 4(2y)-3y=15 8y-3y=15 5y=15 y=3 subst. y=3 in eq. 1 we get x=2(3) x=6 Ans: x=6 and y=3 is the required solution. Thank you.
Eq 1: 3x + y = 10 Eq 2: 3x - 2y = -5 Subtract 1 from 2: -3y = -15 Divide by -3: y = 5 Substitute y = 5 in Eq 1: 3x + 5 = 10 so x = 5/3 Confirm in Eq 2: 3 x 5/3 - 10 = 15/3 - 10 = 5 - 10 = -5. QED
5x + y = 5 .... Eq.1 we can write it in another way ... y = 5 - 5x3x + 2y = 3 .... Eq.2Put the value of Y in Eq.23x + 2(5 - 5x) = 33x + 10 - 10x = 33x - 10x = 3 - 10- 7x = -7x = -7/-7 ............. X = 1to find the value of y, put the value of x in Eq.1y= 5 - 5xy= 5 - 5(1)y= 5 - 5 ............. Y = Zero