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{{:(3x -9y=-6),(1/2x-3/2y=c):} If the system of linear equations above has infinitely many solutions, and c is a constant, what is the value of c ? |
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Answer» `-6` To have the same slope, the x-and y-coefficients of the two equations MUST be the same. Use the x-coefficients here: to turn `1/2` into 3, multiply by 6, So c becomes 6C, and `6c =- 6, or c =-1,` which is (D). Note that you could ALSO write each equation in slopeintercept form and set the y-intercepts equal to each other to solve for c. |
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