Two equations that have the solution of (3, 6) could be:
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(3, 6)-------------------Let's see.(6) = 3(3) - 33(3) - (6) = 36 = 9 - 39 - 6 = 36 = 63 = 3========== (3, 6) is a solution to the system of equations. The only solution? I do not know.
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Um there are an infinite number of equations but some simple ones are: X + 1 = 6 X + 2 = 7 123553X = 617765
Since your equation has two variables in it ( 'x' and 'c' ), a "solution" is a number for each of themthat makes the equation true.Sure, if you want 'x' to be 3, I can figure out what 'c' has to be.And if you want 'c' to be 3, then I can figure out what 'x' has to be.But the "solution" is a pair of numbers that tells you what they BOTH have to be.And in order to figure that out for two variables, you need two equations.
A system of equations? 2X - Y = 3 X + Y = 6 I will try substitution. Express one variable in terms of the other ( use X + Y = 6 ) X + Y = 6 Y = - X + 6 insert into other equation 2X - ( - X + 6) = 3 2X + X - 6 = 3 3X = 9 X = 3 ------- put that back into one of the equations (3) + Y = 6 Y = 3 ------- check both equations 2(3) - (3) = 3 6 - 3 = 3 3 = 3 first equation checks (3) + (3) = 6 6 = 6 Both equations check X = 3 Y = 3 are both true solutions for this system of equations