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Given the equations 2x + 4/3 y = 1 and y - 9/13 x = 9, by what factor would you multiply the first equation so that combining the two equations would eliminate x? -9/26 9/26 1/2 -9/13
In order to eliminate x you need to have the coefficient of x in both the equations same. In the first equation, the coefficient of x is 2 and in the second equation, the coefficient of x is \(\cfrac{-9}{13}\) So, you need to multiply the coefficient of x in the first equation with a number (let it be a) to get the coefficient of x in second equation. 2 * a = \(\cfrac{-9}{13}\)
Just find "a".
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