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{{:(6x+3y=18),(qx -y/3=-2):} In the system of linear equations above, q is a constant. If the system has infinitely many solutions, what is the value of q? |
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Answer» `-9` `((6x+3y=18))/(-9)to - 6/9x - 3/9y=-2` `to -2/3x -1/3 y =-2` The y terms and constants in the second equation now match those in the first, all that's left is to SET the coefficients of x equal to each other : `q =-2/3.` Choice (B) is correct. Note that you could also write each equation in slopeintercept form and set the slopes equal to each other to solve for q. |
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