Find the value of b such that the system of equations does not have a solution. 9x  15y = 4 bx  10y = 19 Try 6 for b:
9x  15y = 4>18x  30y = 8 {multiplied top by 2} 6x  10y = 19>18x + 30y = 57 {multiplied bottom by 3} Add the two new equations together and you get: 0 = 65, meaning there is no solution Therefore 6 is the value of b that creates no solution Additional note about solving with linear combinations (addition method):  when the variables disappear and you get a statement that is never true, then there is no solution (the lines are parallel)  when the variables disappear and you get a statement that is always true, then there are infinite solutions (the lines are the same)
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