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Find the value of a so that the system

y=11x+14

2y−4=ax-y+5x+6

has no solutions.
 

 Jun 12, 2022
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Add y to both sides in the second equation. This yields us \(3y - 4 = ax + 5x + 6 \)

 

Because we have 3 y's, the slope of this equation (coefficient of x) must be 3 times the coefficient of x in the first equation. 

 

This means we have the equation: \(ax + 5x = 33x\), meaning \(a = \color{brown}\boxed{28}\)

 Jun 13, 2022

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