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Solution of system x + y = 10, 2x + y = 18 and 4x - 3y = 26 is : |
Answer» `x+y = 10->(1)` `2x+y = 18->(2)` `4x-3y = 26->(3)` Subtracting (2) from (1), `2x+y-x-y = 18-10=> x = 8` `y = 10-8 =>y= 2` Now, multiplying (1) with 3 and then adding (1) and (3), `3x+3y +4x-3y = 30+26` `7x = 56=> x = 8` `y = 10-8 =>y = 2` Now, multiplying (2) with 3 and then adding (2) and (3), `6x+3y+4x-3y = 54+26 =>10x = 80=> x = 8` `y = 18-16 = 2` So, solving all three equations, we get, `x=8` and `y = 2` So, solution for these three equations is unique solution. |
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