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The elimination method and the substitutionmethod.
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
Solving by the elimination method gives: x = 3 and y = 2
Carl Gauss was arguably the greatest mathematician of all times. He made important contributions to many scientific fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics. Gauss was called "Prince of Mathematics" and "greatest mathematician since antiquity".
x + 4y = -14 eqn12x + 3y = 13 eqn2Using the elimination method we multiply eqn1 by 22x + 8y = -28 eqn1bSubtract eqn2 from eqn1b2x + 8y = -28 eqn1b2x + 3y = 13 eqn25y =-41y = -8 and 1/5substituting this into eqn1 we getx +4 (-41/5) = -14x = (14*5) / (41 *4)x = (35/82)